Find the numerical value.
-A panel of coaches ranks the high school football teams in a particular state each week. The panel unanimously agrees on which five teams should comprise the top five but not on the order.
Riverside High and Hillside High are among the top five. If the ranking of the top five is random,
What is that probability that Riverside High will be ranked first and Hillside High will be ranked
Second?
A) $\frac { 1 } { 20 }$
B) $\frac { 1 } { 60 }$
C) $\frac { 1 } { 40 }$
D) $\frac { 1 } { 120 }$

Question

Find the numerical value.
-A panel of coaches ranks the high school football teams in a particular state each week. The panel unanimously agrees on which five teams should comprise the top five but not on the order.
Riverside High and Hillside High are among the top five. If the ranking of the top five is random,
What is that probability that Riverside High will be ranked first and Hillside High will be ranked
Second? 
A) $\frac { 1 } { 20 }$
B) $\frac { 1 } { 60 }$
C) $\frac { 1 } { 40 }$
D) $\frac { 1 } { 120 }$

Quizplus · Accepted Answer

The probability that Riverside High is ranked first is $\frac{1}{5}$ because there are 5 teams that could be in the first position. Once Riverside High is in the first position, the probability that Hillside High is ranked second is $\frac{1}{4}$ because there are 4 remaining teams that could be in the second position. Multiplying these probabilities gives $\frac{1}{5} \times \frac{1}{4} = \frac{1}{20}$, making the correct answer $\frac{1}{20}$.

Find the Numerical Value 120\frac { 1 } { 20 }201​

Find the Numerical Value $\frac { 1 } { 20 }$