Question

Their are 52 cards, one card from the deck of cards is selected, it 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

12.5%

Explanation:

Total card = 52

Total number of red card = 26

So, Probability of first card is red =
`(26)/(52)` or
`(1)/(2)`

Total number of diamond card = 13

So, probability of second card is diamond =
`(13)/(52)` or
`(1)/(4)`

So, probability that the first card is a red card and the second is a diamond can be calculated as follows,

Probability(first card, second card) =
`(1)/(2)` ×
`(1)/(4)` =
`(1)/(8)` or 0.125

Probability(first card, second card) = 0.125 or 12.5%