Fair coin binomial: probabilities equal to 1/2 by symmetry
This type of question, asked 4 times: 11 May 2023 S1, 23 Apr 2025 S1, 11 Apr 2026 S2, 18 Apr 2026 S1. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
11 May 2023 S1
109The p.m.f. of a random variable X is given by if ; 0 otherwise. Then which of the following is not correct?Tap an option to check your answer.
Question 2
23 Apr 2025 S1
101A fair coin is tossed 100 times. The chance of getting a head even number of times isTap an option to check your answer.
Question 3
11 Apr 2026 S2
99The probability mass function of a random variable X is given by , for and , otherwise. Then which of the following is correct?Tap an option to check your answer.
Question 4
18 Apr 2026 S1
98A fair coin is tossed 9 times. On each toss, a man predicts that the outcome will be heads. The probability that the number of successful predictions is strictly greater than the number of unsuccessful predictions is...Tap an option to check your answer.