Respuesta :
Answer:
Write out all the numbers 1 - 40
Circle all the even numbers a color
And all the multiple of 3 another color
Then count the circles which would be 27
So what’s 27/40, it’s 0.68
Step-by-step explanation:
The probability the chosen number is even or a multiple of 3 for the considered situation is 0.675
How to calculate the probability of an event?
Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
Given that:
- a whole number from 1 to 40 is chosen at random
The numbers which are either even or multiple of 3 or both are:
2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,36,38,39,40.
These are favorable outcomes if we take E = event that the number chosen is even or a multiple of 3.
The total outcomes are: 1,2,3,...,40 (all those 40 whole numbers from 1 to 40).
Thus, we get:
n(E) = count of favorable events for E to occur = 27
n(S) = count of all possible outcomes = 40
Thus, we get:
[tex]P(E) = \dfrac{n(E)}{n(S)} = \dfrac{27}{40} = 0.675[/tex]
Thus, the probability the chosen number is even or a multiple of 3 for the considered situation is 0.675
Learn more about probability here:
brainly.com/question/1210781
