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gizmo_the_mogwai [7]
3 years ago
9

Q and r are not mutually exclusive events. if p(q) = 0.12, p(r) = 0.25, and p(q and r) = 0.03, find p(q or r).

Mathematics
2 answers:
Andrews [41]3 years ago
7 0

So we are given the probabilities of q and r:

p (q) = 0.12

p (r) = 0.25

p (q and r) = 0.03

 

Actually to find for p (q or r), this simply means to add all the values of p (q). p (r) and p (q and r). If we are to draw a bubble diagram, the p (q and r) is the bubble intersection p (q) and p (r). We know that the word “OR” takes up all in the bubble diagram. Therefore:

p (q or r) = p (q) + p (r) + p (q and r)

 

Substituting the given values into the equation:

p (q or r) = 0.12 + 0.25 + 0.03

<span>p (q or r) = 0.40</span>

Radda [10]3 years ago
4 0

Answer:

0.34

Step-by-step explanation:

The probability of A or B occurring if they are not mutually exclusive is given by

P(A)+P(B)-P(A and B)

In this case, we have

P(q)+P(r)-P(q and r)

= 0.12+0.25-0.03 = 0.34

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