of the 26 customers who entered a local diner, 20 order coffee, 8 order pie, 7 order coffee and pie, and 5 did not order anything. let a be the event that a randomly selected customer orders coffee and b be the event that a randomly selected customer orders pie. what is p(a or b)?



Answer :

The probability of that customer who order pie or coffee is 0.8

Define Probability

Probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Total number of customers = 26

out of 26 customers,

20 - order coffee

8 - order pie

7 - order pie and coffee

5 - did not order anything

Let, a = be the event that a randomly selected customer orders coffee

b = be the event that a randomly selected customer orders pie

Probability who order coffee is P(a) = 20 / 26

Probability who order pie is P(b) = 8 / 26

Probability who order both coffee and pie is P(a and b) = 7 / 26

Now, find the probability who order coffee or pie

We have the formula to find,

P(a or b) = P(a) + P(b) - P(a∪b)

Plug in the values in given formula,

P(a or b) = 20 / 26 + 8 / 26 -  7 / 26

P(a or b) = (20 + 8 - 7) / 26

P(a or b) = 21 / 26

P(a or b) = 0.8

Hence, the probability of that customer who order pie or coffee is 0.8

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