Question

You roll a standard 6-sided die, then pull a card from a standard deck of 52 cards. Find the probability that the die shows an odd number and the card is a heart.

P(odd and a heart) = ____ (submit your answer as a lowest term fraction)

Rolling and die and pulling a card are examples of _____ events.

Answer 1

P(odd and a heart) = 1/8

Rolling and die and pulling a card are examples of independent events.

Explanation:

The outcome of rolling a standard 6-sided die and the outcome of pulling a card from a standard deck of 52 cards are independent, that is, one outcome has no influence into the other one. Then:

P(odd and a heart) = P(odd)*P(heart)

Rolling a standard 6-sided die there are 3 odd numbers and 6 possible outcomes, then:

P(odd) = 3/6 = 1/2

There are 13 heart cards in a deck of 52 cards. Then:

P(heart) = 13/52 = 1/4

So:

P(odd and a heart) = 1/2*1/4 = 1/8