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Question
Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is an even number.
Solution
All possible outcomes are 2, 3, 4, 5................101.
Number of all possible outcomes = 100
Out of these the numbers that are even = 2, 4, 6, 8...................100
Let E1 be the event of getting an even number.
Then, number of favourable outcomes = 50
`[T_n = 100 rArr 2 + (n - 1)xx 2 = 100, rArr n = 50]`
`therefore P ("getting an even number") = 50/100 = 1/2`
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