A) 2, 4 or 8
B) 3, 6 or 9
C) 4 or 8
D) 5 or 10
Correct Answer: D
Solution :
Here, \[n(S)=10,n(A)=4,P(A)=\frac{4}{10}\] Let B have \[m(\ne 0)\] outcomes For A and B to be independent. Now,\[P(A\cap B)=\frac{4}{10}\times \frac{m}{10}\] \[\Rightarrow \]\[P(A\cap B)=\frac{(2m)/5}{10}\] \[\Rightarrow \]\[(A\cap B)\]contains 2 m/5 outcomes. Hence \[\frac{2m}{5}\]must be a natural number \[\Rightarrow \]m is either 5 or 10 \[[\because \le m\le 10]\]You need to login to perform this action.
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