Question

There are 4 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. Here are the results
Candidate 1- 250 supporters
Candidate 2- 1,250 supporters
Candidate 3- 450 supporters
Candidate 4- 550 supporters
What is the probability of randomly selecting a person who will vote for candidate 1 or 2?

Answer 1

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

1. **Number of supporters for Candidate 1**: 250
2. **Number of supporters for Candidate 2**: 1,250

**Total supporters for Candidates 1 and 2**:
\[
250 + 1250 = 1500
\]

**Total number of voters surveyed**: 2,500

Now, we can calculate the probability \( P \) of selecting a supporter of either Candidate 1 or Candidate 2:
\[
P(\text{Candidate 1 or Candidate 2}) = \frac{\text{Number of supporters for Candidate 1 or 2}}{\text{Total number of voters}} = \frac{1500}{2500}
\]

Now, simplifying the fraction:
\[
P(\text{Candidate 1 or Candidate 2}) = \frac{1500 \div 500}{2500 \div 500} = \frac{3}{5}
\]

Thus, the probability of randomly selecting a person who will vote for Candidate 1 or Candidate 2 is:
\[
\frac{3}{5} \text{ or } 0.6
\]