NCERT Class XII Mathematics Chapter - - Solutions
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Question : 67
Total: 101
Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is
Solution:
X denote the random variable which assume the number of aces obtained
∴ X can assume values 0, 1 and 2.
∴ P(X = 0) = P (No ace)=
=
=
P(X = 1) = P (one ace)=
=
=
P(X = 2) = P (two aces)=
=
=
Hence the probability distribution is :
∴ E ( X ) = ∑ X P ( X ) = 0 ×
+ 1 ×
+ 2 ×
=
∴ X can assume values 0, 1 and 2.
∴ P(X = 0) = P (No ace)
P(X = 1) = P (one ace)
P(X = 2) = P (two aces)
Hence the probability distribution is :
| X | 0 | 1 | 2 | ||||||
| P(X) | | | |
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