Question

A six-sided number cube is rolled and a card is drawn from a standard deck of 52 cards. Find the total number of outcomes.

What is the probability of rolling a number greater than 4 and drawing a king from the deck?

Answer 1

PLEASE HELP AS SOON AS POSSIBLE

Answer 2

any card with any cube face ... 52 * 6

>4 means 5 or 6 ... 1/3 of the faces
... 4 kings in 52 cards
... 1/3 * 1/13

Answer 3

On six-sided number cube the numbers greater than 4 are:

5 and 6

There are two numbers greater than 4.

The probability these numbers will be rolling is:

2 / 6 = 1 / 3

Standard deck of 52 cards have 4 kings.

The probability that the king will be pulled out is 4 / 52 = 4 ∙ 1 / 4 ∙ 13 = 1 / 13

The probability of rolling a number greater than 4 and drawing a king from the deck is:

1 / 3 ∙ 1 / 13 = 1 / 39