Four cards are drawn successively without replacement from a well shuf

1.	Four cards are drawn successively without replacement from a well shuffled deck of 52 playing cards what is the probability that only 2 cards are spade?
Answer» Probability of gating only 2 spade card i.e., P(only 2 are spades)=⁴C_r(1/4)^r(3/4)^n-r Here, putting r=2, we get P(only 2 are spades)=⁴C₂(1/4)²(3/4)² =27/128

Four cards are drawn successively without replacement from a well shuffled deck of 52 playing cards what is the probability that only 2 cards are spade?

Answer»

Probability of gating only 2 spade card i.e.,

P(only 2 are spades)=⁴C_r(1/4)^r(3/4)^n-r

Here, putting r=2, we get

P(only 2 are spades)=⁴C₂(1/4)²(3/4)²

=27/128

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Four cards are drawn successively without replacement from a well shuffled deck of 52 playing cards what is the probability that only 2 cards are spade?

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