Question

# Two dice are thrown simultaneously. The probability of getting a multiple of 3 on one dice and a prime number on the other is

A
23
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B
13
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C
1136
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D
12
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Solution

## The correct option is C 1136Total number of outcomes when two dice are thrown = 36 Outcomes on a die which are multiple of 3 : 3, 6 Outcomes on a die which are prime number: 2, 3, 5 Outcomes having a multiple of 3 on one die and a prime number on the other die: (2, 3), (2, 6), (3, 2), (3, 3), (3, 5), (3, 6), (5, 3), (5, 6), (6, 2), (6, 3), (6, 5) ∴Total number of favourable outcomes=11 ∴Required Probability=Number of favourable outcomesTotal number of outcomes =1136 Hence, the correct answer is option (c).

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