Question

1. Suppose P(A) = 0.14; P(B) = 0.7; and P(A and B) = 0.04
Find P(A or B).
Can this really be a probability? If not, explain why not.

Answer 1

Probabilities are used to determine the chance of an event.

• The value of P(A or B) is 0.8
• It can be a probability

Given

$P(A) = 0.14$

$P(B) = 0.7$

$P(A\ and\ B) = 0.04$

P(A or B)

To calculate P(A or B), we make use of:

$P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)$

So, we have:

$P(A\ or\ B) = 0.14 + 0.7 - 0.04$

$P(A\ or\ B) = 0.8$

Can it be a probability?

For a probability to be true, its value must be between 0 and 1 (inclusive).

All the given probabilities and the calculated probability, P(A or B) are between 0 and 1.

Hence, the scenario can be a probability.

Read more about probabilities at:

https://brainly.com/question/24297863