Question

Four seniors and six juniors are competing for four places on a quiz bowl team. What is the approximate probability that all four seniors will be chosen at random? 0.00020 0.00476 0.06667 0.07142

Answer 1

B) 0.00476

Explanation:

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Answer 2

Answer: Second Option

`P =0.00476`

Explanation:

The probability sought is calculated by calculating the quotient between the number of possible ways to select 4 seniors from a group of 4 seniors among the number of ways to select 4 seniors from a group of 10 people.

So:

`P =(4C4)/(10C4)`

Where

`nCr = (n!)/(r!(n-r)!)`

is the number of ways in which a number r of people can be selected from a group of n people

Then

`P =((4!)/(4!(4-4)!))/((10!)/(4!(10-4)!))\\\\\\P =(1)/((10!)/(4!(10-4)!))\\\\P =(1)/(210)\\\\P=0.00476`