Question:medium
Let $X = \{a,\,b\}$ and $Y = \{1,\,3,\,4,\,5\}$. A subset of $X\times Y$ is selected at random. If $A$ is an event of selecting a subset of $X\times Y$ containing exactly three elements, then $P(A) =$
Let $X = \{a,\,b\}$ and $Y = \{1,\,3,\,4,\,5\}$. A subset of $X\times Y$ is selected at random. If $A$ is an event of selecting a subset of $X\times Y$ containing exactly three elements, then $P(A) =$
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The Cartesian product $X\times Y$ has $|X|\cdot|Y|$ elements. When selecting a subset at random from a set of $n$ elements, the sample space has $2^n$ equally likely outcomes.
Updated On: Apr 25, 2026
- $\dfrac{7}{32}$
- $\dfrac{7}{64}$
- $\dfrac{5}{32}$
- $\dfrac{5}{64}$
- $\dfrac{7}{128}$
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The Correct Option is A
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