Answer: 2/21
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Step-by-step explanation:
"Without replacement" means the card selected is not put back, and we do not put a copy of that card into the deck.
We have 5 yellow cards out of 5+9+1 = 15 cards total. The probability of picking yellow is 5/15 = 1/3. Let A = 1/3.
After picking that yellow card, we have 5-1 = 4 yellow left out of 15-1 = 14 total. The probability of picking another yellow card, after the first one is not replaced, is 4/14 which reduces to 2/7. Let B = 2/7.
Multiply the values of A and B
A*B = (1/3)*(2/7) = (1*2)/(3*7) = 2/21
The probability of picking two yellow cards, without replacement, is 2/21