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Gnom [1K]
3 years ago
5

there are 4 aces and 4 kings in a standard deck of 52 cards. you picking card random. what is the probability of selecting an ac

e or a king? Explain your reasoning.
Mathematics
1 answer:
Mkey [24]3 years ago
8 0
Probability of an Ace= 4/52
Probability of a King = 4/52

Probability of an Ace or a King = P(Ace) + P(King)
=4/52 +4/52
=8/52
=2/13

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3 years ago
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You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

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=  \frac{ \sqrt{5} +  \sqrt{3}  }{ \sqrt{5}  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  +  \sqrt{3} }

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=   \frac{ {( \sqrt{5} )}^{2}  + 2( \sqrt{5} )( \sqrt{3}) +  {( \sqrt{3}) }^{2}  }{ {( \sqrt{5}) }^{2} -  { (\sqrt{3} )}^{2}  }

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= 4 +  \sqrt{15}

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