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A six sided die is rolled twice what is the probability of rolling either an even number on the first roll or a 1 on the second roll the answer is 7 over 12 but I can't figure out how to get there?
Wiki User
∙ 13y ago
The question asks "What is the probability of rolling either an even number on the first roll or a 1 on the second roll?" These events are independent from each other as the outcome of the second roll is not affected by the outcome of the first roll. However, these events are non-mutually exclusive, meaning that these events can both occur at the same time.
The probability of rolling an even number on the first roll is 3/6 because 2, 4, and 6 are even numbers and a six-sided die has six possible numbers.
The probability of rolling a 1 on the second roll is 1/6.
If these two probabilities are added together, we will have "double counted" the event where an even number is rolled on the first roll and a 1 is rolled on the second roll. To correct for this, we must subtract the probability of both events occurring.
The probability that both events occur is 3/36, because 3/6 * 1/6 = 3/36.
Now, the probability of rolling either an even number on the first roll or a 1 on the second roll is:
3/6 + 1/6 - 3/36
= 18/36 + 6/36 - 3/36
= 21/36
= 7/12
Wiki User
∙ 13y ago
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A 6-sided dice is rolledwhat is the probability of rolling a 3 or 4?
The probability of rolling a three or a four (meaning one roll, and either number would be counted a "success") is 1/3. This is because the probability of rolling a three is 1/6, the probability of rolling a four is 1/6, and if you are good with either possibility, then the combined probability is 1/6+1/6 = 1/3.
What is the probability of rolling the number 1 when rolling two dice?
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What is the probability of rolling divisors of 6?
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What is the probability of rolling a 1 or 6 on a number cube and flipping tails on a coin?
The probability of flipping tails on a perfect coin in a perfect toss is 0.5. The probability of rolling 1 on a die is 1 in 6. Likewise, the probability of rolling 6 on a die is 1 in 6. So the probability of rolling either 1 or 6 is 2 in 6 (which is 1 in 3).
What is the probability of rolling a 2 on a die and then re-rolling the die and getting an even number?
The probability of rolling a 2 is 1 in 6. The probability of rolling an even number is 3 in 6. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.
What is the probability of rolling a number other then 3 on a dice?
The probability would be 5/6 for rolling a number other than a 3.
What is the probability of rolling a number greater than 6 on a die?
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What is the theoretical probability of rolling an odd number?
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What is the probability of rolling an even number on a standard 6 sided die?
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