Question

Find the probability that
event A or B will occur.
A: 5/19
B: 4/19
A and B: 6/19
P(A or B) = [?]

Answer 1

Answer:

9/19

Step-by-step explanation:

Assuming they are NOT mutually exclusive.

The probability of A or B occurring is P(A) + P(B)

This means its 5/19 + 4/19 = 9/19

Answer 2

Answer:

                     $\bullet\;\;\texttt{P(A or B) = \dfrac{15}{19} }$

Step-by-step explanation:

• The Venn Diagram shows the following probabilities

• The probability value in the green circle of 5/19 is the probability of A but not B
• The probability value in the yellow circle of 4/19 is the probability of B but not A
• The probability value in the intersecting green part of 6/19 is the probability of both A and B
• P(A or B) = P(A and not B) + P(B and not A) + P(A and B)
  = 5/19 + 6/19 + 4/19
  = 15/19

Answer
$\texttt{P(A or B) = \dfrac{15}{19} }$