Question

A closet contains 5 short-sleeve shirts and 3 long-sleeve shirts. Two shirts are chosen from the closet without looking. What is the probability that both shirts have short sleeves?

a: 9/64
b: 3/28
c: 5/14
d: 25/64

Answer 1

D. There is a 5/8 chance each time. You would multiply that together to get the answer seen in D. 

Answer 2

Total number of shirts = 5+3 =8

Number of short sleeve shirts =5

Probability of choosing two shirts which has short sleeves out of 5 short sleeves shirts= 5C2

Probability of choosing two shirts which has short sleeves out of 8 shirts = 8C2

Now we have to find probability of choosing 2 short sleeves shirts.

The formula to be used is 5C2/8C2 , so answer would be 5/14.

Answer : The probability of choosing two short sleeve shirts without looking is 5/14. So correct option is option c. 5/14