Question

1. given a standard deck of playing cards, which of the following events cannot happen together? selecting a heart. a selecting a 5. b selecting a red card. c selecting a queen. d

Explanation:

To determine which events cannot happen together, we analyze each pair:

• A (heart) and B (5): There is a 5 of hearts, so they can happen together.
• A (heart) and C (red card): Hearts are red cards, so they can happen together.
• A (heart) and D (queen): There is a queen of hearts, so they can happen together.
• B (5) and C (red card): There are red 5s (5 of hearts, 5 of diamonds), so they can happen together.
• B (5) and D (queen): A card cannot be both a 5 and a queen (a 5 has rank 5, a queen has rank 12—no overlap in rank).
• C (red card) and D (queen): There are red queens (queen of hearts, queen of diamonds), so they can happen together.

Thus, the events that cannot happen together are B. Selecting a 5 and D. Selecting a queen.

Answer:

B. Selecting a 5, D. Selecting a queen