Answer:
C and A
Step-by-step explanation:
#15:
There are 36 candies in total and 11 red candies. The probability that the first candy we choose is red would be: 11/36.
After we took the first red out, there are only 10 reds remaining and 35 total candies remaining. So, the probability that the second candy we choose is red would be: 10/35.
Now, we multiply the probabilities together: (11/36) * (10/35) = 110/1260 = 11/126
Thus, the answer is C.
#16:
There are 52 cards in a deck. The male face cards are the Jack and King. Since there are 4 suits and each suit has 1 Jack and 1 King, there are a total of 2 * 4 = 8 male face cards in the deck.
The probability that the first card we pick is a male face card would be: 8/52.
The problem says that we replace the card after we draw the first one, so when we go to choose the second card, we still have a total of 52 cards to choose from. There are 4 suits, and each suit has one 7, so we have four 7s. The probability that the second card is a 7 would be: 4/52.
Now, we multiply the probabilities together: (8/52) * (4/52) = 32/2704 = 2/169.
Thus, the answer is A.
Hope this helps!
