Respuesta :
Answer:The probability of the spinner landing on an even number or a multiple of 3 is 1/6.
Step-by-step explanation:
[tex]Probability=\frac{\text{number of outcomes}}{\text{total number of outcomes}}[/tex]
Sample space : {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18}
Total number of outcomes = 18
1) probability of an even number or a multiple of 3
An even number or a multiple of 3 : {6,12,18}
number of outcomes = 3
[tex]P_{\text{even number or a multiple of 3}}=\frac{3}{18}=\frac{1}{6}[/tex]
The probability of the spinner landing on an even number or a multiple of 3 is [tex]\frac{1}{6}[/tex]
2) Probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded)
An odd number or a number between 4 and 15 (both numbers excluded):
{5,7,9,11,13}
number of outcomes = 5
[tex]P_{\text{An odd number or a number between 4 and 15}}=\frac{5}{18}[/tex]
The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is [tex]\frac{5}{18}[/tex].
Probability for Emily game, of spinner landing on an even number or a multiple of 3 is 1/6 and odd number or a number between 4 and 15 is 5/18.
What is the probability?
Probability means possibility. It deals with the occurrence of a random event.
The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
It is given that, the Emily is playing a board game that has a spinner divided into equal sections numbered 1 to 18.
Now the number of events we have,
Total events = 18
By the formula of probability,
[tex]\rm Probability = \dfrac{favorable\ events}{Total\ enevts}[/tex]
- A) The probability of the spinner landing on an even number or a multiple of 3.
Favorable event = 3 (6, 12, 18)[tex]\rm Probability = \dfrac{3}{18}\\\\
Probability = \dfrac{1}{6}[/tex]
- B) The probability of the spinner landing on an odd number or a number between 4 and 15.
Favorable events = 5 (5, 7, 9, 11, 13)[tex]\rm
Probability = \dfrac{5}{18}[/tex]
Thus, probability for Emily game, of spinner landing on an even number or a multiple of 3 is 1/6 and odd number or a number between 4 and 15 is 5/18.
Learn more about the probability here;
https://brainly.com/question/795909
