Rodney packs 4 shirts for a trip at random. The closet contains 10 shirts: 5 striped, 3 plaid, 2 solid colored ones. What is the probability that he chose 2 striped and 2 plaid

1 / 7

Step-by-step explanation:

Given :

Number of shirts in closet = 10

Number of striped shirt = 5

Number of plaid = 3

Probability of choosing 2 plaid shirts and 2 stripped shirt

Probability = required outcome / Total possible outcomes

Total possible outcomes = 10C4

Required outcome :

2 plaid shirt from 3 = 3C2

2 stripped shirts from 5 = 5C2

Hence,

P(choosing 2 plaid and 2 stripped shirt) :

(3C2 * 5C2) / 10C4

Recall:

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

Using calculator :

(3C2 * 5C2) / 10C4

= (3 * 10) / 210

= 30 / 210

= 1 / 7

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80

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