Answer:
(a)See below
(b)I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625
Step-by-step explanation:
When an 8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.
The sample space is:
<u>PART A</u>
The sample space of the product a*b of each pair forms the required possibility diagram.
This is given as:
<u>PART B</u>
I) A prime number
The number of products that gives prime numbers = 8
The probability that the product is a prime number
ii) Not a perfect square
Number of products that results in perfect squares =11
The probability that the product is not a perfect square
iii) A multiple of 5
Number of products that are multiples of 5=15
The probability that the product is a multiple of 5
iv) Less than or equal to 21
Number of products which are less than or equal to 21=40
The probability that the product less than or equal to 21
v) Divisible by 4 or 6
Number of products divisible by 4 or 6= 42
The probability that the product is divisible by 4 or 6