Question

a die is thrown 600 times and the frequencies of outcomes 1,2,3,4,5 and 6 are given below.
outcome 1 2 3 4 5 6
frequency: 60 90 175 68 50 157
verify that the sum of the probabilities of these events are 1

Answer 1

Total even numbers = 2, 4 and 6

Total number of times die is thrown = 600

Number of times outcome is 2 = 90

Probability of the outcome 2 = 90/600

Number of times outcome is 4 = 68

Probability of the outcome 4 = 68/600

Number of times outcome is 6 = 157

Probability of the outcome 6 = 157/600

Probability of getting an even number in the next throw of dice

= 90/600 + 68/600 + 157/600

= 315/600

= 21/40

= 0.525

Question (2)

Total odd numbers = 1, 3 and 5

Total number of times die is thrown = 600

Number of times outcome is 1 = 60

Probability of the outcome 1 = 60/600

Number of times outcome is 3 = 175

Probability of the outcome 3 = 175/600

Number of times outcome is 5 = 50

Probability of the outcome 5 = 50/600

Probability of getting an odd number in the next throw of dice

= 60/600 + 175/600 + 50/600

= 285/600  

= 19/40

= 0.475

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