Solution: option (1) 1/9 If two dice are thrown simultaneously, the total number of sample space is 36 Favourable outcomes = (1, 4), (4, 1), (2, 3) and (3, 2) Therefore, the required probability = 4/ 36 = 1/9.
Solution: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x Let ‘x’ be the number on the first dice. ‘Y’ be the number on second dice. We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5. Total number of possible results from two six-sided dice is 6 × 6 = 36. The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1). Number of possible results for the sum is 5 or lower is 10. The probability that the sum is 5 or lower = 10/36 =5/18 Therefore, the probability that the sum is 5 or lower is 5/18. Summary: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18. View Discussion Improve Article Save Article Like Article Probability is a numerical description of how likely an event is to occur. The probability of an event is in the range from 0 to 1 where 0 represents the impossibility of the event and 1 represents certainty over the thing. When the probability is higher, then there are more chances to occur the event. Terms used in Probability The terms used in probability are experiment, random experiment, sample space, outcome, and event. Let’s take a look at the definitions of these terms in brief,
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Sample ProblemsQuestion 1: Probability of getting at least (minimum) one head while tossing two coins simultaneously. Solution:
Question 2: Probability of getting a sum of even number while rolling two dice. Solution:
Question 3: Probability of getting a sum of multiple of 4 while rolling two dice. Solution:
Question 4: Probability of getting a product of 6 while rolling two dice. Solution:
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