A single card is drawn from a deck. Find the probability of selecting a heart or a 8.

Solution:

We know that

Total number of cards = 52

Number of hearts = 13

So P(A) = 13/52

Selecting a 8

Number of 8’s = 4

P (B) = 4/52

Here A ∩ B is selecting a heart with 8 on it

Number of hearts having 8 on it = 1

P(A ∩ B) = 1/52

Here A U B is selecting a heart or a 8

P (A U B) = P (A) + P(B) - P(A ∩ B)

Substituting the values

= 13/52 + 4/52 - 1/52

Taking LCM

= (13 + 4 - 1)/52

= 16/52

= 4/13

Therefore, the probability of selecting a heart or a 8 is 4/13.

A single card is drawn from a deck. Find the probability of selecting a heart or a 8.

Summary:

A single card is drawn from a deck. The probability of selecting a heart or a 8 is 4/13.