Kyle has three short straws, four medium straws, and six long straws. if he randomly draws two straws, one at a time without replacement, what is the probability that both are short straws?
a) 1/26
b) 3/52
c) 6/169
d) 9/169

Step-by-step explanation:

Given : Kyle has three short straws, four medium straws, and six long straws.

To Find: . If he randomly draws two straws, one at a time without replacement, what is the probability that both are short straws?

Solution:

Short Straws = 3

Medium Straws = 4

Long Straws = 6

Total straws = 3+4+6=13

Now , Probability of getting short straw on first draw =

                                                                                      =  

Now the straw is not replaced .

So, Total no. of straws = 12

No. of short straws = 2

Now probability of getting short straw on Second draw =

                                                                                      =  

Now ,the probability that both are short straws =  

                                                                               =  

                                                                               =  

Thus Option A is correct.

Hence ,the probability that both are short straws is   .

5

step-by-step explanation: