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anonymous
 one year ago
If two 6sided number cubes are rolled, what is the probability that 62 will be rolled?
anonymous
 one year ago
If two 6sided number cubes are rolled, what is the probability that 62 will be rolled?

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perl
 one year ago
Best ResponseYou've already chosen the best response.0I am not sure what you mean by rolling 62. Is the question what is the probability of rolling a 4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Assuming a fair die the probability of not rolling a six is 5/6. The probability of not rolling a six on the second roll is also 5/6. As these two events are independent the probability of both occurring, that is no six on either roll, is the two probabilities multiplied together 5/6×5/6=25/36 The probability of getting at least one six is the complement of the probability of getting no sixes 1−25/36=11/36≈30.6 You can extend this analysis to three or more rolls of the die. For three rolls 1−5363=216−125216=91/216≈42.1 which is still less than half. For four rolls we have 1−5464=1296−6251296=671/1296≈51.8 which is finally (just) over half a chance of getting at least one six. Did you know that you are about as likely to not roll a six ten times in a row, as you are to roll a six on the first roll. That is: 1−510610≈83.8 No wonder getting that double to get out of jail in Monopoly sometimes seems to take forever!
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