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

In a standard 52 card deck, there are:

ace = 4

hearts = 13

where one of the hearts is an ace (hence there is a connection)

 

Since the major prize is an ace of hearts, therefore the minor prizes are selected from the below cards:

ace = 3

hearts = 12

We can see that both is decreased by 1 since the major prize was an ace and a heart at the same time.

 

Therefore the total number of cards which can gain a minor prize is now:

3 + 12 = 15

 

Therefore the probability of winning the minor prize from the 52 card deck is:

Probability = 15 / 52

Probability = 0.2885

 

Hence there is a 0.2885 chance or 28.85% chance that the minor prize is won.

Letter c i’d say

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8