If a government program has a success rate of 75% and 200 projects were initiate

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Question: If a government program has a success rate of 75% and 200 projects were initiated, how many projects are expected to succeed?

Options:

Correct Answer: 150

Solution:

Expected successful projects = 75% of 200 = 0.75 * 200 = 150.

If a government program has a success rate of 75% and 200 projects were initiated, how many projects are expected to succeed?

If a government program has a success rate of 75% and 200 projects were initiated, how many projects are expected to succeed?

Step 1: Understand that the success rate of the program is 75%. This means that for every 100 projects, 75 are expected to succeed.
Step 2: Know that there are 200 projects in total.
Step 3: To find out how many projects are expected to succeed, you need to calculate 75% of 200.
Step 4: Convert 75% to a decimal. 75% is the same as 0.75.
Step 5: Multiply the total number of projects (200) by the success rate in decimal form (0.75).
Step 6: Perform the multiplication: 0.75 * 200 = 150.
Step 7: Conclude that out of 200 projects, 150 are expected to succeed.

Probability and Expectation – Understanding how to calculate expected outcomes based on given probabilities.
Basic Arithmetic – Applying multiplication to find a percentage of a total.