Three dice are thrown simultaneously and the sum of the three numbers appearing on the top faces of the dice is found to be 10. The probability that these three numbers are distinct, is
Question and options
Three dice are thrown simultaneously and the sum of the three numbers appearing on the top faces of the dice is found to be 10. The probability that these three numbers are distinct, is
Answer and explanation
Correct answer: A - \(\frac{2}{3}\)
Ordered triples of 1-6 summing to 10: 27. Distinct-value sets: {1,3,6}, {1,4,5}, {2,3,5}, each giving 3! = 6 orders, i.e. 18. Probability = 18/27 = 2/3.
Practice for these exams
-
IPMAT Indore
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- A fruit seller sold 40% of his apples and still 420 apples were left. Originally he had __________ apples.
- A rabbit is sitting at the base of a staircase which has 10 steps. It proceeds to the top of the staircase by climbing either one step at a time or two steps at a…
- Sunil can do a piece of work in 2 days, while Saurav can do it in 3 days. They work together for a day and rest of the work is done by Sachin in 1 day. They get…
- A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay
- The number of 'three-digit numbers' which are multiples of 9 are