two different dice are thrown simultaneously. What is the probability that the sum of two numbers appearing on the top of the dice is at least 10
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As the sum of two numbers appearing on the top of two dice is always less than or equal to 12, all the 36 outcomes are favourable to the event 'sum is less than or equal to 12'. ∴ P (sum is less than or equal to 12) =3636=1. ... ∴ The number of outcomes favourable to the given event = 11. ∴ Required probability = 1136.
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