TS EAMCET · Maths · Probability
In the random experiment of tossing two unbiased dice let \(E\) be the event of getting the sum 8 and \(F\) be the event of getting even numbers on both the dice. Then : I. \(P(E)=\frac{7}{36}\) II. \(P(F)=\frac{1}{3}\) Which of the following is a correct statement?
- A Both I and II are true
- B Neither I nor II is true
- C I is true, II is false
- D I is false, II is true
Answer & Solution
Correct Answer
(B) Neither I nor II is true
Step-by-step Solution
Detailed explanation
\(E=\) Event of getting the sum 8 . \(=\{(2,6),(3,5),(4,4),(5,3),(6,2)\}\) and \(F=\) Event of getting the even numbers on both the dice. \(=\{(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)\}\) \(\therefore \quad P(E)=5 \quad\) and \(\quad P(F)=6\) also \(\quad n(S)=36\)…
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