Probability is nothing more than the numerical representation of the likelihood that an event will occur. Probability has a value between 0 and 1. A dice is rolled once, the possible outcomes are 1, 2, 3, 4, 5 and 6. Then, The probability that the number on top will be (a) Odd Odd numbers in the dice are 1, 3, 5 Then, Probability = total number of odd numbers/ Total number of outcomes = 3/6 … [divide numerator and denominator by 3] = ½ (b) Greater than 5 Greater than 5 is 6 Then, Probability = total number Greater than 5/ Total number of outcomes = 1/6 (c) A multiple of 3 Multiple of 3 = 3 and 6 Then, Probability = total number of multiple of 3/ Total number of outcomes = 2/6 … [divide numerator and denominator by 2] = 1/3 (d) Less than 1 There is no number is less than 1. So, probability of less than 1 = 0 (e) A factor of 36 Factors of 36 are 1, 2, 3, 4 and 6 Probability = total number of factor of 36/ Total number of outcomes = 5/6 (f) A factor of 6 Factors of 6 are 1, 2, 3 and 6 Probability = total number of factor of 6/ Total number of outcomes = 4/6 … [divide numerator and denominator by 2] = 2/3 A dice is rolled once. What is the probability that the number on top will be a factor of 36 When a die is rolled once, then the possible outcomes are 1, 2, 3, 4, 5 and 6. ∴ Probability that number on top will be a factor of 36 = `5/6` Concept: Basic Ideas of Probability Is there an error in this question or solution? Page 2A dice is rolled once. What is the probability that the number on top will be a factor of 6 When a die is rolled once, then the possible outcomes are 1, 2, 3, 4, 5 and 6. ∴ Probability that number on top will be a factor of 6 = `4/6 = 2/3` Concept: Basic Ideas of Probability Is there an error in this question or solution? > 2 |