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JayDelV

  • one year ago

PROBABILITY AND STATISTICS (WILL AWARD A MEDAL AND FAN ) A basketball player gets 2 free-throw shots when she is fouled by a player on the opposing team. She misses the first shot 40% of the time. When she misses the first shot, she misses the second shot 5% of the time. What is the probability of missing both free-throw shots?

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  1. JayDelV
    • one year ago
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    I need to be walked through the steps, I'm not very good at word problems.

  2. anonymous
    • one year ago
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    There are two events (foul shots), A and B. The probability of A then B is\[P (A\text{ then } B) = P(A) \times P(B)\]Don't forget, the probabilities need to be expressed as decimals before doing any calculations with them.

  3. JayDelV
    • one year ago
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    So using that equation I would get my answer?

  4. JayDelV
    • one year ago
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    @ospreytriple

  5. anonymous
    • one year ago
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    Yes. Show me what you get.

  6. JayDelV
    • one year ago
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    I'm not sure what to plug in to what

  7. anonymous
    • one year ago
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    Event A is missing the first foul shot. What's P(A)?

  8. JayDelV
    • one year ago
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    40?

  9. anonymous
    • one year ago
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    Express as a decimal.

  10. JayDelV
    • one year ago
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    .40

  11. JayDelV
    • one year ago
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    ?

  12. anonymous
    • one year ago
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    Right. Event B is missing the second foul shot. What's P(B) expressed as a decimal?

  13. JayDelV
    • one year ago
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    .05

  14. anonymous
    • one year ago
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    Right. So the event of Event A happening then Event B happening is P(A) x P(B). What do you get. Express your final answer as a percent.

  15. JayDelV
    • one year ago
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    I'm not sure if i'm right, but 2 percent?

  16. anonymous
    • one year ago
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    Correct. Well done! It's a small percentage because, even if the first shot is missed, the second shot is almost never missed. Make sense?

  17. JayDelV
    • one year ago
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    Yes! Thank you. Do you mind helping me with another one? If not that'll be fine.

  18. anonymous
    • one year ago
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    OK. Delete this question and post your other one.

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