Of two dominoes taken at random, one is turned over. Determine the probability that the second
January 18, 2021 | education
| Of two dominoes taken at random, one is turned over. Determine the probability that the second die is a double if the first is not a double.
1. Out of 28 dominoes in a standard set, 7 are doubles. If it is known that one of the two dice taken at random is not a double, then we can assume that the second dice is chosen from the remaining 27 dice, among which there are still 7 duplicates.
2. Consequently, the probability of event A, that the second dice is a double, is equal to the ratio of the number of duplicates to the total number of remaining dice:
P (A) = 7/27.
Answer: 7/27.
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