Find the requested probability.
-A box contains the eleven letters, MISSISSIPPI. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is SIPS?
A) $\frac { 2 } { 165 }$
B) $\frac { 2 } { 495 }$
C) $\frac { 4 } { 11 }$
D) $\frac { 128 } { 14641 }$

Question

Find the requested probability.
-A box contains the eleven letters, MISSISSIPPI. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is SIPS? 
A) $\frac { 2 } { 165 }$
B) $\frac { 2 } { 495 }$
C) $\frac { 4 } { 11 }$
D) $\frac { 128 } { 14641 }$

Quizplus · Accepted Answer

The probability of drawing each letter is based on the total number of each letter in the word "MISSISSIPPI": M=1, I=4, S=4, P=2, out of a total of 11 letters. For "SIPS", the probability is $\frac{4}{11}$ (for S), $\frac{4}{11}$ (for I), $\frac{4}{11}$ (for P), and $\frac{4}{11}$ (for S) again, since the drawing is with replacement. Multiplying these probabilities together gives $\frac{4}{11} \times \frac{4}{11} \times \frac{2}{11} \times \frac{4}{11} = \frac{128}{14641}$.

Find the Requested Probability 2165\frac { 2 } { 165 }1652​

Find the Requested Probability $\frac { 2 } { 165 }$