Let S = {1,2,3,4,.....,10). A subset B of S is said to be "good", if product of the elements of
B is odd, Then the probability that a randomly chosen subset of S is 'good' is
31
32
Answers
Answer:
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Step-by-step explanation:
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Answer: 31/1024
Given: S = {1,2,3,4,.....,10); n=10
To Find: Probability of Subset B of S is good.
Step-by-step explanation:
First let's calculate the total number of cases, i.e. total number of subsets of S which can be formed
= 2^n
=2^10
=1024
Now, let's find the total number of favorable outcomes= product of the subset formed is odd
Product of subsets will be odd when elements are chosen are odd i.e 1,3,5,7,9
Thus the total number of subsets that can be formed from odd number=2^5=32
Above 32 includes empty subset also, thus the total number of favorable outcomes=32-1=31
P(Product of subset formed is odd)= No Of Favourable outcomes/ total no of outcomes
= 31/1024
Thus, the correct answer is 31/1024
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