A student chooses the order for independent questions A,B. A is answered correctly with probability 0.8 and gives 10 marks; B has probability 0.5 and gives 20. A wrong first answer makes the total zero. If the first is correct, marks are retained and a correct second adds its marks. Which order maximizes expected marks?
For A first, expected marks are 0.8×10+0.8×0.5×20=8+8=16. For B first, they are 0.5×20+0.5×0.8×10=10+4=14. Thus attempt A then B for expectation sixteen, D. The second-question award is conditional on first-question success.
More Probability and Statistics questions
GATE 2021 CS (CS2) Q43– A bag initially has r red and b black balls. In each trial, draw a ball uniformly, note…
GATE 2026 CS (CS1) Q11– An urn contains one red ball and one blue ball. At each step, a ball is picked uniformly…
GATE 2026 CS (CS1) Q58– Let X be a random variable which takes values in the set \1, 2, 3, 4, 5, 6, 7, 8\.…
GATE 2026 CS (CS2) Q14– The probability density function f(x) of a random variable X is f(x) = 132 (-x218), x…
GATE 2026 CS (CS2) Q63– Suppose an unbiased coin is tossed 6 times. Each toss is independent. Let E 1 be the event…
GATE 2025 CS (CS1) Q32– A box contains 5 coins: 4 regular coins and 1 fake coin. When a regular coin is tossed,…