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A pair of dice is constructed so that each die is marked with a 1 on one side a 2 on two sides and a 3 on three sides The dice are rolled Find the probability that the same number appears on each?
Wiki User
∙ 12y ago
Let X be the number that is rolled
P(X=1) = 1/6
P(X=2) = 2/6
P(X=3) = 3/6
Case 1 (2 ones are rolled)
(P(X=1))(P(X=1)) = 1/36
Case 2 (2 twos are rolled)
(P(X=2))(P(X=2)) = 4/36
Case 3 (2 threes are rolled)
(P(X=3))(P(X=3)) = 9/36
Probability of same number appearing on each =
(Case 1)U(Case 2)U(Case 3) since they are independent this equals
Case1 + Case2 +Case3=
1/36 +4/36 + 9/36 = 14/36
Wiki User
∙ 12y ago
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Three dice are tossed what is the probability that the same number appears on exactly two of the three dice?
The probability is 90/216 = 5/12
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When you roll a die a number from 1 through 6 appears If a sufficiently large N number of throws are made out of which n number of times any particular integer value 1 or 2 or 3 or 4 or 5 or 6 appears?
Then n/N is the probability of that number appearing.
What is the probability of rolling a die and getting a 3 the first time?
There are 6 sides on a die, so the denominator should be 6. The number 3 appears on the dice once, so the fraction probability should be 1/6.
Frequency approach for probability?
Well, that's not much of a question. Perhaps you are asking: What is the frequency interpretation of probability? This is called the classical interpretation of probability. Given n independent and identical trials with m occurrences of of a particular outcome, then the probability of this outcome, is equal to the limit of m/n as n goes to infinity. If you are asking: How can probabilities be estimated given data, based on frequency approach? A table is constructed, with intervals, and the number of events in each interval is calculated. The number of events divided by the total number of data is the relative frequency and an estimate of probability for the particular interval.
What is the highest number on probability?
The highest number on probability is 1 or 100%.
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What is the question of the problem if rolling a number cube labeled from 1 to 6 and the probability is one half?
There could be many questions: What is the probability of rolling an even number. What is the probability of rolling an odd number. What is the probability of rolling a number less than 4. What is the probability of rolling a number more than 3. What is the probability of rolling 1,4, or 6. Basically it could be any question about the probability of rolling half of the faces.
