JEE Main 2021 — Probability Question with Solution
From: JEE Main 2021 (Online) 17th March Morning Shift
Question
Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
n(S) = 36
possible ordered pair :
(1, 1), (1, 2), (1, 3), (1, 5), (1, 7),
(2, 1), (2, 2), (2, 3), (2, 5),
(3, 1), (3, 2), (3, 3), (3, 5),
(5, 1), (5, 2), (5, 3),
(7, 1)
Number of favourable outcomes = 17
Probability =
possible ordered pair :
(1, 1), (1, 2), (1, 3), (1, 5), (1, 7),
(2, 1), (2, 2), (2, 3), (2, 5),
(3, 1), (3, 2), (3, 3), (3, 5),
(5, 1), (5, 2), (5, 3),
(7, 1)
Number of favourable outcomes = 17
Probability =
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