Question

Use what you have learned about mutually inclusive and exclusive events.

Apply the formula for calculating the probability of events A or B.
Question 1
There are four presidential candidates in a country. A street survey was
conducted asking 2,500 registered voters which candidate they will vote for in
the coming election. The table summarizes the results of the survey.
Presidential Candidates Number of Supporters
Candidate 1 250
Candidate 2 1,250
Candidate 3 450
Candidate 4 550
a. What is the probability of randomly selecting a person who will vote for
Candidate 1 or 2?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the probability of randomly selecting a person who will vote for Candidate 1 or 2, we need to add the number of supporters for Candidate 1 and Candidate 2 and then divide by the total number of registered voters surveyed.

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

In this case, P(A) is the probability of selecting a person who will vote for Candidate 1, which is 250/2500 = 0.1
P(B) is the probability of selecting a person who will vote for Candidate 2, which is 1250/2500 = 0.5
Since these events are mutually exclusive (a person cannot vote for both Candidate 1 and 2), P(A and B) is 0.

Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is:
P(A or B) = 0.1 + 0.5 = 0.6

So, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is 0.6 or 60%.