An 8-sided fair dice is rolled twice and the product of the two numbers obtained when the dice is rolled two times is calculated.(a) Draw the possibility diagram of the product of the two numbers appearing on the dice in each throw (b) 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

1.) Kindly check attached picture for possibility diagram

(2)

1) 0.125 2)0.963 3.)0.234 4.)0.625 5.)0.656

Step-by-step explanation:

Probability = required outcome / Total possible outcomes

1) P(product is a prime number)

Appearance of prime numbers = 8 times

P(product is a prime number) = 8/64 = 0.125

2.) P(not a perfect square) = 1 - p(perfect square)

1 - (12/64) = 52/54 = 0.963

3.) P(a multiple of 5) = 15/64 = 0.234

4.)P(less than or equal to 21) = 40/64 = 0.625

5.)P(divisible by 4 or 6) = 42/64 = 0.656

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

1. minimum

2. 6400

3. eight

hope this !