MATH SOLVE

5 months ago

Q:
# 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?1/781/245/7810/39

Accepted Solution

A:

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