Please help. And show your work or your content answer will be removed and your points will be taken away from the one's you get
from me.Thank you!
1 answer:
You might be interested in
Answer:
(a)
(b)
(i)probability that the product of the two numbers is a prime number=7/64
(ii)probability that the product of the two numbers is not a perfect square=56/64
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64
Step-by-step explanation:
(a) 8-sided fair die implies each die can have outcomes 1,2,3,4,5.6,7,8 with equal chances.
To draw the possibility diagram of the product of the two numbers appearing on the die in each throw, we put the outcomes of both dies side by side and find the product of possible outcomes.
(b) probability= Number of outcome / Total number of outcomes
(i)probability that the product of the two numbers is a prime number=8/64=1/8
based on sample space, the prime numbers are 2,2,3,3,5,5,7,7
(ii)probability that the product of the two numbers is not a perfect square=56/64=7/8
based on sample space, only 1,4,9,16,25,36,49,64 are perfect square
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64=5/8
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64=21/32
Answer:
Step-by-step explanation:
When two dice are rolled, the sample space is
In total, 36 outcomes
First, find the probability that the sum is 10 or greater:
All favorable outcomes
10:
11:
12:
In total, 6 outcomes.
The probability that the sum is 10 or greater is
Use the complement rule to find that the probability that the sum of the dice is less than 10:
we are given
we can move 10 on right side
we cancel -1
we can rewrite right side
we can compare exponents
and we get
.............Answer