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Question

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the top faces will be at least 10 is


A

1/6

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B

1/12

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C

1/118

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D

None

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Solution

The correct option is A

1/6


We will first find the total number of cases, then the total number of favorable outcomes.

We do this because we know that the probability can be found as

P(A)=number of favorable outcomestotal outcomes

When we throw a pair of dice, the total number of outcomes in 36

[Starting from (1,1),(1,2)....(1,6)....(5,6),(6,1),....(6,6)]

Wehave to find those outcomes where the sum of the digits is at least 10.

These outcomes are (4,6),(5,5),(6,4),(5,6),(6,5) and (6,6)

Probability =636

=16


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