Question

The events "drawing a heart from a standard deck of playing cards" and "rolling an even number on a standard six-sided die" are independent. The probability of drawing a heart is 0.25. The probability of rolling an even number is 0.5. What is the probability of drawing a heart and rolling an even number when a card is drawn and the die is rolled?

Answer 1

P(heart, even number) = (1/4)(1/2) = 1/8

Answer 2

The probability of both drawing a heart from a deck of cards and rolling an even number on a die is 0.125 or 12.5%, which is calculated by multiplying the individual probabilities (0.25 and 0.5) using the product rule.

Step-by-step explanation:

The probability of drawing a heart from a standard deck of playing cards is 0.25, and the probability of rolling an even number on a standard six-sided die is 0.5. Since these two events are independent, the probability of both occurring is the product of the two individual probabilities. This is known as the product rule of probability. To find the combined probability of drawing a heart and rolling an even number, we multiply the two probabilities:

P(Drawing a Heart and Rolling an Even Number) = P(Drawing a Heart) × P(Rolling an Even Number) = 0.25 × 0.5 = 0.125.

Therefore, the probability of both drawing a heart and rolling an even number is 0.125, or 12.5%.

To find the probability of drawing a heart and rolling an even number, we need to multiply the probabilities of each event occurring.

The probability of drawing a heart is 0.25, and the probability of rolling an even number is 0.5.

The probability of both events occurring together is 0.25 x 0.5 = 0.125, or 12.5%.