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.

Respuesta :

Answer:

12.5%

Step-by-step explanation:

Total card = 52

Total number of red card = 26

So, Probability of first card is red = [tex]\frac{26}{52}[/tex] or [tex]\frac{1}{2}[/tex]

Total number of diamond card = 13

So, probability of second card is diamond =  [tex]\frac{13}{52}[/tex] or [tex]\frac{1}{4}[/tex]

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) = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex] or 0.125

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