A spinner numbered 1-10 is spun. Each number is equally likely to be spun. What is the probability of spinning:

1. An odd number OR a power of three?

2. A number less than 8 OR a divisor of 15?

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

Answered by adewuyirasaqjamiu | 2024-06-13

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 **:
brainly.com/question/795909

Answered by shivishivangi1679 | 2024-06-15

The probability of spinning an odd number or a power of three is 10 7 ​ . The probability of spinning a number less than 8 or a divisor of 15 is also 10 7 ​ . Both events result in the same probability because of the overlapping outcomes.
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Answered by adewuyirasaqjamiu | 2024-09-26