Answer:
\(\frac{1}{26}\)
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 = \(\frac{\text{No. of short straws}}{\text{Total Number of straws}}\)
= \(\frac{3}{13}\)
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 = \(\frac{\text{No. of short straws}}{\text{Total Number of straws}}\)
= \(\frac{2}{12}\)
Now ,the probability that both are short straws = \(\frac{2}{12} \times \frac{3}{13}\)
= \(\frac{6}{156}\)
= \(\frac{1}{26}\)
Thus Option A is correct.
Hence ,the probability that both are short straws is \(\frac{1}{26}\) .
