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Question: A dice is thrown twice. The probability of getting 4, 5 or 6 in the first throw and 1, 2, 3 or 4 in ...

A dice is thrown twice. The probability of getting 4, 5 or 6 in the first throw and 1, 2, 3 or 4 in the second throw is

A

1

B

13\frac { 1 } { 3 }

C

736\frac { 7 } { 36 }

D

None of these

Answer

13\frac { 1 } { 3 }

Explanation

Solution

Let P(A)P ( A ) and P(B)P ( B ) be the probability of the events then P(AP ( A and B)=P(A)P(B)=12×23=13B ) = P ( A ) \cdot P ( B ) = \frac { 1 } { 2 } \times \frac { 2 } { 3 } = \frac { 1 } { 3 }.