What is the solution for Penny is asked to find the probability of rolling a 5 on a die and drawing a jack from a deck of cards?

Answer 1

To find the probability of rolling a 5 on a die and drawing a jack from a deck of cards, you first calculate each probability separately. The probability of rolling a 5 on a six-sided die is ( \frac{1}{6} ), and the probability of drawing a jack from a standard 52-card deck is ( \frac{4}{52} = \frac{1}{13} ). Since these two events are independent, you multiply the probabilities:

[ P(\text{5 and Jack}) = \frac{1}{6} \times \frac{1}{13} = \frac{1}{78}. ]

Thus, the solution is ( \frac{1}{78} ).