Given below are two statement based on the following If A and B are independent events such that P(A)=p, P(B)=2 p and P (exactly one of A, B)=5/9 Statement I: p=1/3 Statement II: p=5/12 In the light of the above statements, choose the correct answer form the question given below Option 1: Both Statement I and Statement II are true Option 2: Both Statement I and Statement II are false Option 3: Statement I is true but Statement II is false Option 4: Statement I is false but Statement II is true

The answer is 'Both Statement I and Statement II are true'. View full solution:

Modern Math > Probability

Hard

Given below are two statement based on the following If $A$ and $B$ are independent events such that $P(A)=p, P(B)=2 p$ and $P$ (exactly one of $A, B)=\frac{5}{9}$ Statement I: $\mathrm{p}=\frac{1}{3}$ Statement II: $\mathrm{p}=\frac{5}{12}$ In the light of the above statements, choose the correct answer form the question given below

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

✅ Correct Option: 1

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