Two cards are drawn (without replacement)
from a well Shaffeed deck of
deck of 52 caras
find probability Asteri bention and
numbered a
mean of
of cards
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Answer:
Total no. of cards in the pack =52
The number of kings in the pack of cards =4
Let X be the discrete random variable denoting the king when two cards are drawn without replacement.
X takes the values 0,1,2.
Now,
Case I:- Probability of no king being drawn
P(X=0)=
52
C
2
48
C
2
=
221
188
Case II:- Probability of one king being drawn
P(X=1)=
52
C
2
48
C
1
×
4
C
1
=
221
32
Case III:- Probability of two king being drawn
P(X=2)=
52
C
2
4
C
2
=
221
1
Therefore, the probability distribution is-
X 0 1 2
P(x)
221
188
221
32
221
1
Now, mean of probability distribution-
Mean =∑x
i
P
i
=0×
221
188
+1×
221
32
+2×
221
1
=
221
0+32+2
=
221
34
Step-by-step explanation:
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