on any given day when i am on vacation, the chance i run is 25%. on any given day when i am not on vacation, the chance i run is 50%. the chance i run on any given day is 40%. on a randomly chosen day, what is the probability i run or i am on vacation?

Question

20-12-2022
Mathematics

Answered

on any given day when i am on vacation, the chance i run is 25%. on any given day when i am not on vacation, the chance i run is 50%. the chance i run on any given day is 40%. on a randomly chosen day, what is the probability i run or i am on vacation?

Answer :

Other Questions

If a student does not study for either test, on which test should the student expect the higher score? on the science test because the rate of change is greater

What are the missing parts that correctly complete the proof?given: point a is on the bisector of zpqr.prove: point a is equidistant from the sidesof zpqrr-0dra

You have two jars of cookies, each of which starts with n cookies initially. every day, when you come home, you pick one of the two jars randomly (each jar is c

what does this mean 100% match on the first 3% of employee contributions, plus 50% match on the next 3-5% (basic match)

three cards are chosen at random from a standard -card deck. what is the probability that they are not all the same color? 3334

if his average speed is 20 km per hour on his way up and 30 km per hour on his way down, how many hours does the trip take?

Find the weighted average of the points on the number line. The ratio of weights of A to B to C is 3:3:2. Note: Point A is at -7, point B is at -1, and point C

What is the value of the expression below when a is 3, b is 25, and c is 5? * 1 point (3a + 4b + c) - (c² + 5a)

1 Which equation below has a graph that is parallel to the graph of the equation given?y=−1/6x+2 1.y=-1/6x-7 2.y=1/6x-2 3.y=6x + 2 4. None of these

one day, river writes down the numbers $1,$ $2,$ $\dots,$ $999.$ how many digits did river write, in total

rathipushpendra345 rathipushpendra345 · Answer 1 · 2022-12-25T09:06:42-05:00

This means that there is a 50% probability that you run or are on vacation on a randomly chosen day.

To find the probability that you run or are on vacation on a randomly chosen day, we can use the principle of inclusion-exclusion.

The probability that you run on any given day is 40%. The probability that you are on vacation on any given day is not given, but we know that the probability that you run on any given day when you are on vacation is 25%.

We can use these probabilities to set up the following equation:

P(run or vacation) = P(run) + P(vacation) - P(run and vacation)

Substituting the given probabilities, we get:

P(run or vacation) = 40% + P(vacation) - (40% * 25%)

We can simplify this equation to get:

P(run or vacation) = 40% + P(vacation) - 10%

We can rearrange the terms to solve for P(vacation):

P(vacation) = P(run or vacation) - 40% + 10%

Substituting the given probability P(run or vacation) = 40%, we get:

P(vacation) = 40% - 40% + 10% = 10%

Therefore, the probability that you are on vacation on a randomly chosen day is 10%. The probability that you run or are on vacation on a randomly chosen day is the sum of these probabilities:

P(run or vacation) = 40% + 10% = 50%

This means that there is a 50% probability that you run or are on vacation on a randomly chosen day.

To learn more about probability, refer;-

https://brainly.com/question/14210034

#SPJ4