Answer :
Answer:
B) Probability of number less than 8 OR a divisor of 15 = 1
Step-by-step explanation:
Given that the spinner number 1-10, therefore sample space = 10.
Each number is equally likely to be spun = 1/10 for each number.
A) probability of having an odd number OR a power of three?
Probability of odd number = number of odd number from 1-10 / sample space
Number of odd number = 5 {1,3,5,7,9}
Probability of odd number = 5/10 = 1/2
Probability of power of three = number of power of three from 1-10 / sample space
power of three from 1-10 = 1 (1x1x1) and 8 (2x2x2)
number of power of three from 1-10 = 2 {1,8}
Probability of power of three = 2/10
probability of having an odd number OR a power of three = probability of having an odd number + a power of three
probability of having an odd number OR a power of three = 5/10 + 2/10 = 7/10
B) probability of number less than 8 OR a divisor of 15
Number less than 8 = 7 {1,2,3,4,5,6,7}
Probability of number less than 8 = 7/10
Divisor of 15 from 1-10 = 3 {1,3,5}
Probability of divisor of 15 = 3/10
Probability of number less than 8 OR a divisor of 15 = probability of number less than 8 + a divisor of 15
Probability of number less than 8 OR a divisor of 15 = 7/10 + 3/10 = 10/10 = 1
The Probability of having an odd number OR a power of three is 7/10
The probability of a number less than 8 OR a divisor of 15 is 1.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
It is given that the spinner number 1-10, So sample space = 10.
Each number is equally likely to be spun
A) probability of having an odd number OR a power of three
Probability of odd number = number of odd numbers / sample space
Number of odd number = {1,3,5,7,9}
Probability of odd number = 5/10
= 1/2
Probability of power of three = number of power of three / sample space
power of three from 1-10 = 1 and 8
number of power of three = 2
Probability of power of three = 2/10
Probability of having an odd number OR a power of three = probability of having an odd number + a power of three
= 5/10 + 2/10
= 7/10
Therefore, the probability of having an odd number OR a power of three is 7/10
B) Probability of number less than 8 OR a divisor of 15
Number less than 8 = {1,2,3,4,5,6,7}
Probability of number less than 8 = 7/10
Divisor of 15 from 1-10 = {1,3,5}
Probability of divisor of 15 = 3/10
Probability of number less than 8 OR a divisor of 15 = probability of number less than 8 + a divisor of 15
= 7/10 + 3/10
= 10/10
= 1
Therefore, the Probability of a number less than 8 OR a divisor of 15 is 1.
Learn more about probability :
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