Find the probability of obtaining an even prime number on each die , when a pair of dice is rolled ?

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Solution

There is only one even prime, i.e., 2.
Probability of getting 2 on one die: $\frac{1}{6}$
As the two dice are independent, probability of getting a 2 on both dice: $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$

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Q. The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

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If two different dice are rolled together, the probability of getting an even number on both dice, is:

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Find the probability of obtaining an even prime number on each die , when a pair of dice is rolled ?

There is only one even prime, i.e., 2.Probability of getting 2 on one die: 16As the two dice are independent, probability of getting a 2 on both dice: 16×16=136

There is only one even prime, i.e., 2.
Probability of getting 2 on one die: $\frac{1}{6}$
As the two dice are independent, probability of getting a 2 on both dice: $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$