Shironda rolls a number cube (six sides) and chooses a card from a standard deck of cards (52 cards).

What is the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck?

1/78

1/24

5/78

10/39

The answer is 178. Explanation:

The probability that one rows a 5 on a standard six-sided cube is 16 since there is 1 number on the dice that has the number 5 out of a total of 6 possibilities.

On a deck of 52 cards, there are four 5's (for each suit). Thus the probability is 452 = 113

These events are independent. Thus, to calculate their P (A and B), we multiply their probabilities. 16 ⋅ 113 = 178