One card is randomly drawn from a standard deck of cards what is the probability of choosing an even number or a diamond

Answer 1

Hi Diana,

Basic equation for this is:

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

Event A = Even card is drawn

Event B = Diamond is drawn

P(A) = Probability of Even = 20/52 —5 even cards per suit, 4 suits—multiply together

P(B) = 13/52 —13 diamonds in 52 card deck

P(A and B) = 5/52 —5 even diamonds in 52 card deck

So:

P(A or B) = (20/52) + (13/52) - (5/52)

P (A or B) = 28/52

Reduced form:

P(A or B) = 7/13

I hope this helps.