A fair die is thrown at random. Let A be the event that the number obtained on the die is a non-even prime number and B be the event that the number obtained on the die is an odd number. Let p : P(A) = 1 3 , q : A and B are independent events. Then the truth values of statements p and q respectively are.....

Step-by-step solution

Sample space S = 1, 2, 3, 4, 5, 6 Event A is getting a non-even prime number. A = 3, 5 P(A) = 2 6 = 1 3 Statement p is True. Event B is getting an odd number. B = 1, 3, 5 P(B) = 3 6 = 1 2 A B = 3, 5 P(A B) = 2 6 = 1 3 P(A) P(B) = 1 3 1 2 = 1 6 Since P(A B) P(A) P(B) , events A and B are not independent. Statement q is False. The truth values of p and q are T and F respectively. Answer: T , F