Alyssa is doing a card trick with one of her friends, Denise. She only uses 15 cards: 3 diamonds, 3 hearts, 4 spades, and 5 clubs. Denise draws one card, replaces it in the deck, and draws one card again.

Question

What is the probability that she draws a heart both times?

How would you solve these particular problems???

Answer 1

since these events are independent of each other, you just multiply their probabilities.

Since there are 3 hearts out of 15 cards,

P(heart) = 3/15 = 1/5
P(heart,heart) = 1/5 * 1/5 = 1/25

Answer 2

1/25