What is the probability of drawing a diamond or a red card from a 52 card deck?

Answer 1

"Neither card is red" is the same as "both cards are black". The probability that the first card is black is 26 out of 52, or 1/2. Given that the first card is black, there are 51 cards remaining, of which 25 are black; thus the conditional probability that the second card is also black is 25/51. The probability that both cards are black is the product of these two probabilities: 1/2 * 25/51 = 25/102, or about 24.51%.

Answer 2

n(S)=52

let A be the event that card drawn is a diamond

n(A)=13 so,

P(A)=13/52 &

let B be the event that card drawn is red

n(B)=26

P(B)=26/52

P(AorB)=P(A)=P(B)

=13/52+26/52

=39/52=3/4