Question

What is the probability of drawing a King or a Queen or a Jack from a deck of cards?

Answer 1

Number of cards n(S) = 52

No. of King cards n(A) = 4

No. of Queen cards n(B) = 4

No. of Jack cards n(C) = 4

Probability of drawing a King card

= `("n"("A"))/("n"("S")) = 4/52`

Probability of drawing a Queen card

= `("n"("B"))/("n"("S")) = 4/52`

Probability of drawing a Jack card

= `("n"("C"))/("n"("S")) = 4/52`

The Probability of drawing a King or a Queen or a Jack from a deck of cards

= P(A) + P(B) + P(C)

= `4/52 + 4/52 + 4/52`

= `(4 + 4 + 4)/52`

= `12/52`

= `3/13`