Question

One card from a deck of cards Is selected, it's is replaced, and another card is chosen. What is the probability that the first card is a red card and the second is a diamond

Answer 1

1/ 8

Explanation:

Given that:

Number of red cards in deck = 26

Number of diamonds in deck = 13

Number of cards in deck = 52

Recall :

Probability = required outcome / Total possible outcomes

Probability of choosing a red :

P(red) = 26 / 52 = 1/2

With replacement :

Probability of diamond :

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

Hence,

Probability of first card red, then second card diamond equals

P(red) * P(diamond)

1/2 * 1/4

= 1/8