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    Mixed Probability Questions

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    Solve the following problems showing your work:

    1. In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident?

    2. In a certain class of students, there are 12 boys from Wilmette, 3 girls from Kenilworth, 9 girls from Wilmette, 6 boys from Glencoe, 2 boys from Kenilworth and 6 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?

    3. Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers.

    4. Of 1936 people who came into a blood bank to give blood, 200 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

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    Solution Preview

    1. P(accident)
    = CountAccident / CountTotal
    = 157 / (157 + 117) = 157 / 274 = 0.573 = 0.573 * 100% = 57.3%

    2. P(Kenilworth)
    = CountKenilworth / CountTotal
    = (3 girls + 2 boys) / ...

    Solution Summary

    The solution provides answers to four probability questions and shows the steps of the calculations.