question archive What is the probability of getting a card that isn't a heart nor an ace? I attempted to solve this problem (see below):   Probability of a Heart is 13/52   Probability of an Ace is 13/52   P(A&B) = 1/16 which is (13/52 * 13/52)   13/52 + 13/52 - 1/16 = 7/16   Then 1- 7/16 = 9/16   Where did I mess up?

What is the probability of getting a card that isn't a heart nor an ace? I attempted to solve this problem (see below):   Probability of a Heart is 13/52   Probability of an Ace is 13/52   P(A&B) = 1/16 which is (13/52 * 13/52)   13/52 + 13/52 - 1/16 = 7/16   Then 1- 7/16 = 9/16   Where did I mess up?

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What is the probability of getting a card that isn't a heart nor an ace?

I attempted to solve this problem (see below):

 

Probability of a Heart is 13/52

 

Probability of an Ace is 13/52

 

P(A&B) = 1/16 which is (13/52 * 13/52)

 

13/52 + 13/52 - 1/16 = 7/16

 

Then 1- 7/16 = 9/16

 

Where did I mess up?

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Probability of a Heart is 13/52

 

Probability of an Ace is 4/52

 

P(A&B) = 1/52

 

13/52 + 4/52 - 1/52 = 16/52

 

Then 1- 16/52 = 36/52

 

your mistake

only 4 ace in a pack

Probability of an Ace is 4/52

there is only one card that is heart and ace

P(A&B) = 1/52