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Q.

If a die is thrown, then what is the probability of getting a number, which is even and greater than 2?

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a

0

b

\frac{2}{3}

c

\frac{1}{3}

d

1

answer is C.

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Detailed Solution

It is given that,
A die is thrown.
We know that six faces on a die are numbered as 1, 2, 3, 4, 5, and 6.
Total number of possible outcomes = 6.
Let, E = Event of getting a number, which is even and greater than 2.
Numbers which are even and greater than 2 are 4, 6.
Then number of outcomes favorable to E = 2.
Then, probability,

P (E) = Number of favourable outcomes Total number of outcomes

P E = 26 P E = 13

Therefore, the probability of getting a number, which is even and greater than 2 is

\frac{1}{3}

.
Hence, option (3) is correct.

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If a die is thrown, then what is the probability of getting a number, which is even and greater than 2?