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Question

Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is ___________.

A
536
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B
512
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C
1136
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D
112
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Solution

The correct option is D 1136
The required probability =36 (multiple of 2 on one dice) ×26(multiple of 3 on the other dice) +26 (multiple of 3 on one dice) ×36 (multiple of 2 on other dice) 16 (case both dice having 6, is repeated both times)
=636+63616

=1136

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