SOLUTION: A die is rolled twice. What is the probability that the sum of the rolls is less than 4 given that one of the rolls is a 1?
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Question 1118482: A die is rolled twice. What is the probability that the sum of the rolls is less than 4 given that one of the rolls is a 1?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Let = event that the sum is less than 4 (3 for "3 or less")
Let = event that (at least) one die is a 1
P( |) * P() = P( ∩ )
P() = 11/36
P( ∩ ) = 3/36
so
P() = (3/36) / (11//36) =
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