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An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6

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Answer:

Step-by-step explanation:

Use the possibility diagram to calculate the probability that the product of the two numbers is

A prime number

Sample Space: 64

Prime Number:8

Probability: 8/64 = 1/8

Not a perfect square

Sample Space:64

Not a perfect square:56

Probability: 56/64 = 7/8

A multiple of 5  

Sample Space:64

A multiple of 5: 16

Probability: 16/64 = 1/4

Less than or equal to 21  

Sample Space:64

Less than or equal to 21:24

Probability: 24/64 = 6/16 = 3/8

Divisible by 4 or 6

Sample Space:64

Divisible by 4 or 6:32

Probability: 32/64 = 1/2

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