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Question
A die is thrown, find the probability of the event of getting a number less than 3.
Solution
Sample space when a die is thrown
S = {1, 2, 3, 4, 5, 6}
n(S) = 6
Let A = Getting a number less than 3
∴ A = {1,2}
∴ n(A) = 2
P(getting a number less than 3) = P(A) = `(n(A))/(n(S)) = 2/6 = 1/3`
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Two coins are tossed simultaneously.
∴ Sample space is
S = `{square, HT, TH, square}`
Event A: To get at least one head.
∴ A = `{square, HT, TH}`
Event B: To get no head.
∴ B = `{square}`
Assertion (A): A die is thrown once and the probability of getting an even number is `2/3`.
Reason (R): The sample space for even numbers on a die is {2, 4, 6}.
