Question 1

What is the probability of obtaining at least one tail in 4 flips of a coin? Give your answer as a fraction.

Accepted Answer

The answer of What is the probability of obtaining at...

Question 2

How many shirt-blouse outfits can a woman wear if she has 4 skirts and 5 blouses? 
__________ outfits

Accepted Answer

The answer of How many shirt-blouse outfits can a woman...

Question 3

Use estimation to select the best response. Do not calculate. 
Which of the following is less probable? 
Guessing all the incorrect answers on a 20-question true-false examination or 
Obtaining all tails in 20 tosses of a quarter or 
They are equally probable

Accepted Answer

The answer of Use estimation to select the best response....

Question 4

Complete the list.
 $\text { cellpadding="0" cellspacing }=0 " \text { width }=" 55 \% \text { " border="0"> }$
$\text { Experiment: Tossing a coin }$
Success:     tails
$\text { Failure: }$ _________

$P \text { (success): } \frac{1}{2}$
$P(\text { failure): }$ ___________

Accepted Answer

The answer of Complete the list.
 \(\text { cellpadding="0" cellspacing...

Question 5

Find $P ( \bar { E } )$ if $P ( E ) = 0.08$ . $$P ( \bar { E } )$$ = __________

Accepted Answer

The answer of Find \(P ( \bar { E }...

Question 6

Find $P( \bar { B } )$ if $P ( B ) = 0.002$ . $$P ( \bar { B } )$$ = __________

Accepted Answer

The answer of Find $P( \bar { B } )$...

Question 7

What is the probability of flipping a coin 8 times and obtaining all heads?

Accepted Answer

The probability of flipping a coin and getting heads is 1/2. If we flip it twice, the probability of getting heads both times is (1/2)x(1/2) = 1/4. Similarly, the probability of getting heads three times in a row is (1/2)x(1/2)x(1/2) = 1/8.

To find the probability of getting all heads in 8 flips, we need to multiply the probability of getting heads on each individual flip. So the probability is (1/2)x(1/2)x(1/2)x(1/2)x(1/2)x(1/2)x(1/2)x(1/2) = 1/256.

Therefore, the answer is D).

Question 8

A state issued license plates using the scheme of two letters followed by three numerals. How many plates could it issue? 
__________ plates

Accepted Answer

The answer of A state issued license plates using the...

Question 9

Complete the list. Give your answer as a fraction.
 cellpadding="0" cellspacing="0" width $ =87 \% $ " border="0">
Experiment: Rolling a die
Success: d2
$ P $ (success): $ \frac{1}{2} $
P(failure): ?

Accepted Answer

The answer of Complete the list. Give your answer as...

Question 10

Find the probability of $P( \bar { E } )$ if $P ( E ) = \frac { 11 } { 17 }$ . Give your answer as a fraction.

Accepted Answer

The answer of Find the probability of \(P( \bar {...

Question 11

Use estimation to select the best response. Do not calculate. 
Which of the following is more probable? 
Obtaining at least 3 heads in 5 flips of a coin or 
Obtaining at least 3 heads in 6 flips of a coin or 
They are equally probable

Accepted Answer

The answer of Use estimation to select the best response....

Question 12

Suppose a restaurant offers the following prix fixe menu: 
 $$\begin{array} { l } 
\text { cellpadding="0" cellspacing="0" width } = 69 \% \text { " border="0" } \
\begin{array} { l l } 
\text { Main course prime rib, steak, chicken, filet of sole, shri } \
\text { Side dish } & \text { soup, salad, crab cakes } \
\text { Dessert } & \text { cheesecake, ice cream, chocolate chip } \
& \text { delight } \
\text { Beverage } \quad \text { coffee, tea }
\end{array}
\end{array}$$ How many different dinners can this restaurant serve? __________ different dinners

Accepted Answer

The answer of Suppose a restaurant offers the following prix...

Question 13

A history teacher gives a 14-question true-false exam. In how many different ways can the test be answered if the possible answers are true or false? 
__________ different ways

Accepted Answer

The answer of A history teacher gives a 14-question true-false...

Question 14

What is the probability of a family with 6 children having 3 boys and 3 girls?

Accepted Answer

The probability of having 3 boys and 3 girls in a family of 6 children can be calculated using the binomial coefficient, which gives us the number of ways to choose 3 boys out of 6 children, multiplied by the probability of each of those outcomes. The formula for the binomial coefficient is $\binom{n}{k} = \frac{n!}{k!(n-k)!}$, where $n$ is the total number of children, and $k$ is the number of boys (or girls, since they are equal in this case). Thus, we have $\binom{6}{3} = \frac{6!}{3!3!} = 20$ ways to have 3 boys and 3 girls. The probability of each child being a boy or a girl is $\frac{1}{2}$, assuming equal probability for each gender. Therefore, the probability of having 3 boys and 3 girls is $20 \times (\frac{1}{2})^6 = \frac{20}{64} = \frac{5}{16}$.

Question 15

Find $P( \bar { B } )$ if $P ( B ) = 0.4$ $$P ( \bar { B } )$$ = __________

Accepted Answer

The answer of Find $P( \bar { B } )$...

Question 16

Use estimation to select the best response. Do not calculate. 
Which of the following is more probable? 
Obtaining a six 3 times in 5 rolls of a die or 
Obtaining a six at least 3 times in 5 rolls of a die or 
They are equally probable

Accepted Answer

The answer of Use estimation to select the best response....

Question 17

Complete the list. 
 cellpadding $ =0 " $ cellspacing $ =0 " $ width $ =47 \% $ " border="0">
Experiment: Card game
Success: Drawing a spade
$ P $ (success): $ 0.22 $
P(failure): ____________

Accepted Answer

The answer of Complete the list. 
 cellpadding \( =0...

Question 18

A typical Social Security identification number is 747-61-2313. How many Social Security numbers are possible if the first digit cannot be 0? 
__________ numbers

Accepted Answer

The answer of A typical Social Security identification number is...

Question 19

A state issued license plates using the scheme of three letters followed by three numerals, and 243 letter arrangements were not allowed. How many plates could it issue? 
__________ plates

Accepted Answer

The answer of A state issued license plates using the...

Question 20

A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?

Accepted Answer

The first digit cannot be zero, so there are only nine possibilities (1-9) for the first digit of each group. Therefore, the total number of Social Security numbers possible is:
$9\cdot10\cdot10\cdot10\cdot10\cdot10\cdot10\cdot10\cdot10 = 9	imes10^8 = 729,000,000$
So, the answer is $(D)$.

Quiz 9: Probability

What is the probability of obtaining at least one tail in 4 flips of a coin? Give your answer as a fraction.

How many shirt-blouse outfits can a woman wear if she has 4 skirts and 5 blouses? __________ outfits

Use estimation to select the best response. Do not calculate. Which of the following is less probable? Guessing all the incorrect answers on a 20-question true-false examination or Obtaining all tails in 20 tosses of a quarter or They are equally probable

Complete the list. }"> $\text { cellpadding="0" cellspacing }=0 " \text { width }=" 55 \% \text { " border="0"> }$ $\text { Experiment: Tossing a coin }$ Success: tails $\text { Failure: }$ _ $P \text { (success): } \frac{1}{2}$ $P(\text { failure): }$ ___

Find $P ( \bar { E } )$ if $P ( E ) = 0.08$ . $P ( \bar { E } )$ = __________

Find $P( \bar { B } )$ if $P ( B ) = 0.002$ . $P ( \bar { B } )$ = __________

What is the probability of flipping a coin 8 times and obtaining all heads?

A state issued license plates using the scheme of two letters followed by three numerals. How many plates could it issue? __________ plates

Complete the list. Give your answer as a fraction. cellpadding="0" cellspacing="0" width $=87 \%$ " border="0"> Experiment: Rolling a die Success: d2 $P$ (success): $\frac{1}{2}$ P(failure): ?

Find the probability of $P( \bar { E } )$ if $P ( E ) = \frac { 11 } { 17 }$ . Give your answer as a fraction.

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining at least 3 heads in 5 flips of a coin or Obtaining at least 3 heads in 6 flips of a coin or They are equally probable

A history teacher gives a 14-question true-false exam. In how many different ways can the test be answered if the possible answers are true or false? __________ different ways

What is the probability of a family with 6 children having 3 boys and 3 girls?

Find $P( \bar { B } )$ if $P ( B ) = 0.4$ $P ( \bar { B } )$ = __________

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining a six 3 times in 5 rolls of a die or Obtaining a six at least 3 times in 5 rolls of a die or They are equally probable

Complete the list. cellpadding $=0 "$ cellspacing $=0 "$ width $=47 \%$ " border="0"> Experiment: Card game Success: Drawing a spade $P$ (success): $0.22$ P(failure): ____________

A typical Social Security identification number is 747-61-2313. How many Social Security numbers are possible if the first digit cannot be 0? __________ numbers

A state issued license plates using the scheme of three letters followed by three numerals, and 243 letter arrangements were not allowed. How many plates could it issue? __________ plates

A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?

Quiz 9: Probability

What is the probability of obtaining at least one tail in 4 flips of a coin? Give your answer as a fraction.

How many shirt-blouse outfits can a woman wear if she has 4 skirts and 5 blouses? __________ outfits

Use estimation to select the best response. Do not calculate. Which of the following is less probable? Guessing all the incorrect answers on a 20-question true-false examination or Obtaining all tails in 20 tosses of a quarter or They are equally probable

Find P(Eˉ)P ( \bar { E } )P(Eˉ) if P(E)=0.08P ( E ) = 0.08P(E)=0.08 . P(Eˉ)P ( \bar { E } )P(Eˉ) = __________

Find P(Bˉ)P( \bar { B } )P(Bˉ) if P(B)=0.002P ( B ) = 0.002P(B)=0.002 . P(Bˉ)P ( \bar { B } )P(Bˉ) = __________

What is the probability of flipping a coin 8 times and obtaining all heads?

A state issued license plates using the scheme of two letters followed by three numerals. How many plates could it issue? __________ plates

Complete the list. Give your answer as a fraction. cellpadding="0" cellspacing="0" width =87% =87 \% =87% " border="0"> Experiment: Rolling a die Success: d2 P P P (success): 12 \frac{1}{2} 21​ P(failure): ?

Find the probability of P(Eˉ)P( \bar { E } )P(Eˉ) if P(E)=1117P ( E ) = \frac { 11 } { 17 }P(E)=1711​ . Give your answer as a fraction.

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining at least 3 heads in 5 flips of a coin or Obtaining at least 3 heads in 6 flips of a coin or They are equally probable

A history teacher gives a 14-question true-false exam. In how many different ways can the test be answered if the possible answers are true or false? __________ different ways

What is the probability of a family with 6 children having 3 boys and 3 girls?

Find P(Bˉ)P( \bar { B } )P(Bˉ) if P(B)=0.4P ( B ) = 0.4P(B)=0.4 P(Bˉ)P ( \bar { B } )P(Bˉ) = __________

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining a six 3 times in 5 rolls of a die or Obtaining a six at least 3 times in 5 rolls of a die or They are equally probable

Complete the list. cellpadding =0" =0 " =0" cellspacing =0" =0 " =0" width =47% =47 \% =47% " border="0"> Experiment: Card game Success: Drawing a spade P P P (success): 0.22 0.22 0.22 P(failure): ____________

A typical Social Security identification number is 747-61-2313. How many Social Security numbers are possible if the first digit cannot be 0? __________ numbers

A state issued license plates using the scheme of three letters followed by three numerals, and 243 letter arrangements were not allowed. How many plates could it issue? __________ plates

A typical Social Security identification number is 805-83-3253. How many Social Security numbers are possible if the first digit of each group cannot be 0?

Find $P ( \bar { E } )$ if $P ( E ) = 0.08$ . $P ( \bar { E } )$ = __________

Find $P( \bar { B } )$ if $P ( B ) = 0.002$ . $P ( \bar { B } )$ = __________

Complete the list. Give your answer as a fraction. cellpadding="0" cellspacing="0" width $=87 \%$ " border="0"> Experiment: Rolling a die Success: d2 $P$ (success): $\frac{1}{2}$ P(failure): ?

Find the probability of $P( \bar { E } )$ if $P ( E ) = \frac { 11 } { 17 }$ . Give your answer as a fraction.

Find $P( \bar { B } )$ if $P ( B ) = 0.4$ $P ( \bar { B } )$ = __________

Complete the list. cellpadding $=0 "$ cellspacing $=0 "$ width $=47 \%$ " border="0"> Experiment: Card game Success: Drawing a spade $P$ (success): $0.22$ P(failure): ____________