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What is the probability of getting a number greater than 2 on two rolls of a six-sided die both
times?

a. 2/6
b.4/6
c.4/3
d.3/6
e.4/9

Sagot :

Ankit

Answer:

[tex]Probability = \frac{4}{9} [/tex]

Given:

The die was rolled twice having six sides,

To find:

probability of getting a number greater than 2 =?

solution:

The probability of getting a number greater than 2 on single roll =

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

Similarly on second roll the probability would be

[tex] \frac{2}{3} [/tex]

Since two events are occurring together, the total probability of finding number greater than 2 in both rolls =

[tex] \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} [/tex]

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