Project ForgeEngineering Mathematics
Probability & Statistics
GATE 2009
Medium
A fair die is rolled. Let R denote the event of obtaining a number less than or equal to 5, and S denote the event of obtaining an odd number. Then which ONE of the following about the probability (P) is TRUE?
- P(R/S)=1
- BP(R/S)=0
- CP(S/R)=1
- DP(S/R)=0
Explanation
S={1,3,5} is a SUBSET of R={1,2,3,4,5} (every odd number ≤6 that's odd is also ≤5). So R∩S=S, giving P(R|S)=P(R∩S)/P(S)=P(S)/P(S)=1.
Source: GATE CH 2009 (2009)
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