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Get the answer to your homework problem. Try Numerade free for 7 days Thomas M. Algebra 6 months, 3 weeks ago We don’t have your requested question, but here is a suggested video that might help. Related QuestionTwo dice are rolled. Find the probability of obtaining: A sum of four. DiscussionYou must be signed in to discuss. Video TranscriptAnd this problem We're rolling two dice and relate to all the probability At the some of the Dice Equals four. Now, how many ways can that happen? You might get a 202 or you might get a one and a three For three and a one. So remember in dice rolls we distinguish between the order here and if we do that, There's a total of 36 outcomes in the sample space, However, only three of them in the top have a sum that equals four. So three successes Over 36 total. Go ahead and simplify that. Two different dice are thrown at the same time. Find the probability of getting : Solution: When two dice are thrown simultaneously, the sample space of the experiment is {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1),(3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)} So there are 36 equally likely outcomes. Possible number of outcomes = 36. (i)Let E be an event of getting a doublet. Favourable outcomes = {(1,1), (2,2),(3,3), (4,4), (5,5),(6,6)} Number of favourable outcomes = 6 P(E) = 6/36 = 1/6 Probability of getting a doublet is 1/6 . (ii)Let E be an event of getting a sum of 8. Favourable outcomes = {(2,6), (3,5), (4,4), (5,3), (6,2)} Number of favourable outcomes = 5 P(E) = 5/36 Probability of getting a sum of 8 is 5/36. What is the probability of getting a doublet or a total of 4?Probability = Favourable Outcomes ÷ Total Outcomes =368=92. What is the probability of getting a doublet when two dice are rolled together?Probability of getting a doublet is 1/6 . What is the probability of getting a doublet or total 4 in a single throw with two dice?Answer. Probability of getting a doublet = 6/36 = 1/6. What is the probability of getting a multiple of 4?So, the favourable event is that the selected number is a multiple of 4. From the given 15 numbers, the numbers that are multiple of 4 are 4,8 and 12. Therefore, Probability that a number selected is a multiple of 4 =315=15. What is a doublet when two dice are thrown?When the two dice are thrown simultaneously, all possible outcomes =62 = 36. The favourable outcomes are: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) Hence, the no. of favourable outcomes = 6. ∴ P (getting a doublet) = 636=16. No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Solution The correct option is C16When the two dice are thrown simultaneously, all possible outcomes =62 = 36. The favourable outcomes are: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) Hence, the no. of favourable outcomes = 6 ∴ P (getting a doublet) = 636=16What is the probability of getting a doublet when two dice are rolled once?` P(getting a doublet) = ` 6/36 = 1/6`.
What is probability that doublet in dice?Probability of getting doublet = 6/36. = 1/6.
What is the probability of getting one doublet in a throw of pair of dice?Therefore, in a throw of a pair of dice, the probability of getting a doublet is \[\dfrac{1}{6}\]. Hence, option C is the correct answer.
What is a doublet when two dice are thrown?When the two dice are thrown simultaneously, all possible outcomes =62 = 36. The favourable outcomes are: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) Hence, the no. of favourable outcomes = 6. ∴ P (getting a doublet) = 636=16.
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