Answer:
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
