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kicyunya [14]
3 years ago
14

A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

<u>Answer: </u>

The probability of rolling a number greater than 4 or less than 3 is \frac{2}{3}

<u>Solution: </u>

In the given question there are two events as follows:

(a) Rolling a number greater than 4 i.e. A = {5,6}

(b) Rolling a number less than 3 i.e. B = {1,2}

Since a die has 6 numbers,

 P(A) = \frac{2}{6} where P(A) is the probability of occurrence of event A and P(B) = \frac{2}{6}

Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.

P(A∪B) = P(A) + P(B)

=\frac{2}{6}+\frac{2}{6}

=\frac{4}{6}

=\frac{2}{3}

Therefore the probability of getting a number greater than 4 or less than 3 is \frac{2}{3}

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