Question

A die is thrown 100 times and outcomes are noted as given below: Outcome 1 2 3 4 5 6 Frequency 21 9 14 23 18 15 If a die is thrown at random, find the probability of getting a/an: (i) 3 (ii) 5 (iii) 4 (iv) Even number (v) Odd number (vi) Number less than 3. Select the correct answer from above options

Answer 1

Given total number of trials = 100 (i) From the table, number of times 3 comes up = 14 Probability of getting 3 = frequency of 3/ total number of trails = 14/100 = 7/50 (ii) From the table, number of times 5 comes up = 18 Probability of getting 5 = frequency of 5/ total number of trails = 18/100 = 9/50 (iii) From the table, number of times 4 comes up = 23 Probability of getting 4 = frequency of 4/ total number of trails = 23/100 (iv) Frequency of getting an even number = Frequency of 2 + Frequency of 4 + Frequency of 6 = 9 + 23 + 15 = 47 Probability of getting an even number = frequency of an even number/ total number of trails = 47/100 (v) Frequency of getting an even number = Frequency of 1 + Frequency of 3 + Frequency of 5 = 21 + 14 + 18 = 53 Probability of getting odd number = frequency of odd number/ total number of trails = 53/100 (vi) Frequency of getting number less than 3 = Frequency of 1 + Frequency of 2 = 21 + 9 = 30 Probability of getting number less than 3 = frequency of number less than 3/ total number of trails = 30/100 = 3/10