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Class 12 Probability · Assertion Reason1 Marksindependence

Class 12 Maths · Probability · Assertion Reason #25

Assertion (A): For two independent fair dice, the probability of an even prime on each die is 1/36. Reason (R): When P(A)>0 and P(B)>0, P(A|B)>P(A) implies P(B|A)>P(B).

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
  1. Only 2 is an even prime, so P=1/6·1/6=1/36. R follows from P(A∩B)>P(A)P(B), but is not the explanation of A.

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