Acard is randomly drawn from a standard $52$-card deck. an ace of hearts wins the grand prize; any other ace or heart wins a small prize. what is the probability of winning a small prize? express your answer as a common fraction. assume that a grand prize winner does not also win a small prize.

Probability of winning a small prize is

Step-by-step explanation:

Since we have given that

Number of cards in a deck = 52

Grand prize for an ace of heart

Small prize for any other ace or heart.

We need to find the probability of winning a small prize.

P(winning a small prize) = P(any other ace) × P(heart)

P(winning a small prize)

Hence, probability of winning a small prize is

6/20

step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.