Question

An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts

Answer 1

1/160

Explanation:

Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.

Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.

In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.

1/5 * 1/32 = 1/160