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Question
The probability of throwing a number greater than 2 with a fair die is
Options
`2/5`
`5/6`
`1/3`
`2/3`
Solution
Total number of outcomes = 6.
Out of the given numbers, numbers greater than 2 are 3, 4, 5 and 6.
Numbers of favourable outcomes = 4.
∴ P(getting a number greater than 2) = `("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 4/6 = 2/3`
Thus, the probability of getting a number greater than 2 is`2/3`.
Hence, the correct answer is option `2/3`.
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