If a card is chosen at random from a deck of 52 cards what i

If a card is chosen at random from a deck of 52 cards, what is the probability that the card is a 7 or a heart? If a card is chosen at random from a deck of 52 cards, what is the probability that the card is a 2 or a 3 and a club at the same time? If a number is chosen from the set {0, 1. 2. 3, 4, 5. 6}, what is the probability that the number is even? If the probability of rolling a 7 is 1/6, what are the odds in favor of rolling a 7?

Solution

a) Probability of 7 or heart

Probability of 7, P(A) = 4/52

Probability of heart, P(B) = 13/52

Now,P(A intersection B) = 1/52 ;;;(There are one no.of 7 in heart)

Probability, of 7 or heart = (4/52) + 13/52 - 1/52 = (16/52) = 8/26 = 4/13