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The math club needs to choose four people for a committee to represent it at the school board meeting. The club consists of 14 members, made up of nine girls and five boys. Which counting method should you use to find the compound probability? Explain. What is the total number of possible outcomes? What is the probability that two girls and two boys are on the committee? Round your answer to two decimal places.

Respuesta :

Answer:

Use combinations because order does not matter, 1001, 0.36

Step-by-step explanation:

Answer: Combination method is used for counting.  There are 1001 possible outcomes and there is probability of 0.36 of getting two girls and two boys are on the committee.

Step-by-step explanation:

Since we have given that

Total number of members = 14

Number of girls = 9

Number of boys = 5

We will use "Combination method " to count the compound probability.

So, the total number of possible outcomes is given by

[tex]^{14}C_4\\\\=1001[/tex]

The probability that two girls and two boys are on the committee is given by

[tex]\dfrac{^9C_2\times ^5C_2}{^{14}C_4}\\\\=\dfrac{360}{1001}\\\\=0.3596\\\\=0.36[/tex]

Hence, there are 1001 possible outcomes and there is probability of 0.36 of getting two girls and two boys are on the committee.

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