Question 1 of 10Penny is asked to find the probability of rolling a 5 on a die and drawing a jack from a deck of cards. This is a simple event.A.TrueB.False

1. Break Down the Problem

To determine whether the statement "Penny is asked to find the probability of rolling a 5 on a die and drawing a jack from a deck of cards" represents a simple event, we need to understand the definitions of simple events and compound events in probability.

2. Relevant Concepts

• Simple Event: An event that consists of only one outcome.
• Compound Event: An event that consists of two or more simple events.

In this case, rolling a 5 on a die is one outcome, and drawing a jack from a deck of cards is another outcome.

3. Analysis and Detail

• Rolling a die has 6 possible outcomes, and the probability of rolling a 5 is $P(5) = \frac{1}{6}$.
• Drawing a jack from a standard deck of 52 cards has 4 jacks, so the probability of drawing a jack is $P(Jack) = \frac{4}{52} = \frac{1}{13}$.

Since Penny is measuring the occurrence of both a roll of a 5 and a jack, this constitutes a compound event, not a simple event.

4. Verify and Summarize

Given that the event involves two independent outcomes (rolling a die and drawing a card), it is confirmed that it is a compound event.

Final Answer

B. False - The event described is a compound event, not a simple event.