Probability of winning question

Question

If there are 5 separate questions to pick the right answer.

50% of people picked the first question right.

58% of people picked the second question right.

34% of people picked the third question right.

29% of people picked the fourth question right.

71% of people picked the fifth question right.

What is the probability of one person picking all 5 questions right.

Answer 1

To determine what the probability is that one person picked all 5 questions correctly, we simply multiply all the percentages together:

P(all questions right) = P(question 1 right) * P(question 2 right) * P(question 3 right) * P(question 4 right) * P(question 5 right)

P(all questions right) = 0.50 * 0.58 * 0.34 * 0.29 * 0.71 = 0.0203 = 2.03%