Answer:
2) 20/132
Explanation:
To calculate the probability of selecting a hockey card, keeping it, and then selecting another hockey card, we need to consider the total number of cards and the number of hockey cards in the box.
The total number of cards in the box is 5 + 7 = 12.
First, let's calculate the probability of selecting a hockey card. There are 5 hockey cards out of 12 total cards. Therefore, the probability of selecting a hockey card on the first draw is 5/12.
After selecting a hockey card, there are now 4 hockey cards left in the box and a total of 11 cards remaining. Thus, the probability of selecting another hockey card on the second draw is 4/11.
To find the probability of both events occurring (selecting a hockey card and then another hockey card), we multiply the probabilities together:
(5/12) * (4/11) = 20/132
Therefore, the probability of selecting a hockey card, keeping it, and then selecting another hockey card is 20/132.