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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 :

luisejr77

Answer: Second Option

[tex]P =0.00476[/tex]

Step-by-step 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:

[tex]P =\frac{4C4}{10C4}[/tex]

Where

[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]

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

Then

[tex]P =\frac{\frac{4!}{4!(4-4)!}}{\frac{10!}{4!(10-4)!}}\\\\\\P =\frac{1}{\frac{10!}{4!(10-4)!}}\\\\P =\frac{1}{210}\\\\P=0.00476[/tex]

garciasymer

Answer:

it's the second option, 0.00476

Step-by-step explanation:

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