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Question

Two dice are thrown simultaneously. The probability that the sum of squares of the numbers shown on the dice is a multiple of 2 and 5, is

A
19
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B
116
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C
736
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D
518
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Solution

The correct option is C 736

Total number of outcomes when two dice are thrown = 36
Outcomes in which the sum of squares of the numbers is a multiple of 2 and 5:
(1, 3), (3, 1), (2, 4), (4, 2), (2, 6), (6, 2) and (5, 5)
As, 12+32=1+9=10
22+42=4+16=20
22+62=4+36=40
52+52=25+25=50
Total number of favourable outcomes=7
Required Probability=Number of favourable outcomesTotal number of outcomes
=736
Hence, the correct answer is option (c).

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