3 cards are drawn successively ,without replacement,from a well shuffled pack of 52 cards find the probability distribution of number - Maths - Probability

Question

3 cards are drawn successively ,without replacement,from a
well shuffled pack of 52 cards find the probability distribution of
number of spades?

Garima Singhal · Accepted Answer

Let X denote the no
 of spade cards in three draws
therefore X can take values 0,1,2,3
PX=0 =C339C352 = 913922100PX=1=C239 ×C113C352 = 741×1322100 = 963322100           PX=2 = C139 ×C213C352 = 39×7822100 = 304222100PX=3 = C039 ×C313C352 = 1×28622100 = 28622100

The required Probability distribution is,

X
0
1
2
3

P(X)
9139/22100
9633/22100
3042/22100
286/22100

3 cards are drawn successively ,without replacement,from a well shuffled pack of 52 cards.find the probability distribution of number of spades?