Let X be a set containing 10 elements and P(X) be its power set. If A and B are picked up at random from P(X), with replacement, then the probability that A and B have equal number of elements, is :
As learnt in
Probability of occurrence of an event -
Let S be the sample space then the probability of occurrence of an event E is denoted by P(E) and it is defined as
- wherein
Where n repeated experiment and E occurs r times.
Total number of subsets of set
Number of subsets with one element =
Number of subsets with two elements=
.
.
.
.
Number of subsets with ten elements=
A and B are taken from P(x) from subsets, total ways =
Number of ways =
Probability =
Option 1)
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Option 2)
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Option 3)
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Option 4)
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