MATHEMATICS MIDDLE SCHOOL

a panel of 6 judges is being selected from a group of 10 males and 10 females.What is the probability of selecting exactly 3 male?

Answers

Answer 1

Answer:

Probability of selecting exactly 3 male is equals to

What is probability?

" Probability is defined as the ration of the number of favourable outcomes to the total number of outcomes."

Formula used

Probability = $(n(S))/(n(T))$

$n(S) =$ Number of favourable outcomes

$n(T)=$ Total number of outcomes

According to the question,

Total number of males $=10$

Total number of females $=10$

Number of judges for a panel to be selected $=6$

As per given condition ,

Total number of outcomes $= 20\rm C_(6)$

Number of selecting exactly 3 males for 6 judges $= 10\rm C_3* 10\rm C_3$

Substitute the value in the formula to get the required probability,

Probability of selecting exactly 3 males $= ( 10\rm C_3* 10\rm C_3)/(20\rm C_(6))$

$= (120)/(323)$

Hence, the probability of selecting exactly 3 males is equals to $(120)/(323)$ .

Learn more about probability here

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Answer 2

Answer: 10nCr6 over 6nCr3 this should give you the answer

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Answers

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Hope this helps!

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Answer:

Step-by-step explanation:

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Answers

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