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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)= 7 36 II. P(F)= 1 3 Which of the following is a correct statement?

Options

  1. ABoth I and II are true
  2. BNeither I nor II is true
  3. CI is true, II is false
  4. DI is false, II is true

Correct answer

B. Neither I nor II is true

Step-by-step solution

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) P(E)=5 and P(F)=6 also n(S)=36 P(E)= n(E) n(S) = 5 36 and P(F)= n(F) n(S) = 6 36 = 1 6 Neither I nor II is true

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