Question

Q4. 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/Sample Space of the product of the two numbers appearing on the die in each throw Use the possibility diagram/sample space to calculate the probability that the product of the two numbers is A prime number Not a perfect square A multiple of 5 Less than or equal to 21

Answer 1

Answer:

8 Possible  outcomes

Probability  of prime no  

= 8/64

= 1/8  

possible outcomes = 12

Probability of getting no perfect square = 1 - 12/64

= 1-  3/16

  = 13/16

15 possible outcomes

Probability of outcomes which are multiple of 5

= 15/64

possible outcomes= 40

Probability of outcomes less than or equal to 21

= 40/64  

= 5/8

42 possible outcomes

Probability of outcomes divisible by 4 or 6

= 42/64

= 21/32

Step-by-step explanation: