A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a heart.

 a. 3/13

b. 4/13

c. 7/52

d. 2/13

 

Answer:

B )

Step-by-Step explanation

Calculation:

n(S)= 52

Let A be the event of getting an ace :

n(A) = 4

Probability that selecting an ace card = n(A)/n(S) = 4 /52

Let B be the event of getting a heart :

n(B) = 13

Probability that selecting a heart card = n(B) /n(S) = 13/52

P(A and B) = 1/52

The probability that the card is an ace or a heart :

P(A or B) = P(A) +P(B)-P(A and B)

P(A or B) = (4/52)+(13/52)-(1/52)

P(A or B) = 16/52 = (4/13)

The answer is 4/13.