Question

Bert and ernie each have a well-shuffled standard deck of 52 cards. they each draw one card from their own deck. compute the probability that: a. bert and ernie both draw an ace. b. bert draws an ace but ernie does not. c. neither bert nor ernie draws an ace. d. bert and ernie both draw a heart. e. bert gets a card that is not a jack and ernie draws a card that is not a heart.

Answer 1

The probability calculations for Bert and Ernie's card draws require understanding multiplication and addition probability rules for independent events, and knowledge of the composition of a standard deck.

Step-by-step explanation:

The probability questions involving Bert and Ernie drawing cards from a shuffled standard deck involve calculating outcomes and applying basic principles of probability, such as multiplication and addition rules for independent events. For example, the probability of both drawing an ace would be the product of the individual probabilities since each draw is independent. Similarly, the probability of one drawing a heart and the other drawing an ace involves different probabilities for each event. These calculations rely on understanding that there are 4 aces and 13 hearts in a 52-card deck, and each draw reduces the total number of available cards.