Question

which of the following are compound events? check all that apply. drawing an ace and then a king from a deck of cards drawing a red card from a deck of cards rolling a 1 on a number cube and then tossing a coin and landing on tails choosing a banana, then an apple, and then an orange from a fruit basket choosing a dime from a piggy bank

Explanation:

To determine compound events, we recall that a compound event consists of two or more simple events. Let's analyze each option:

1. Drawing an ace and then a king from a deck of cards: This involves two separate events (drawing an ace, then drawing a king), so it’s a compound event.
2. Drawing a red card from a deck of cards: This is a single event (drawing a red card), so it’s a simple event.
3. Rolling a 1 on a number cube and then tossing a coin and landing on tails: This involves two events (rolling a 1, then tossing a coin), so it’s a compound event.
4. Choosing a banana, then an apple, and then an orange from a fruit basket: This involves three events (choosing banana, then apple, then orange), so it’s a compound event.
5. Choosing a dime from a piggy bank: This is a single event (choosing a dime), so it’s a simple event.

Answer:

• drawing an ace and then a king from a deck of cards
• rolling a 1 on a number cube and then tossing a coin and landing on tails
• choosing a banana, then an apple, and then an orange from a fruit basket