Probability/Stas

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An instant lottery gives you probability of 0.023 of winning on any one play, which are independent of each other. If you play 6 times, the probability that you win on none of your plays is:

The answer is suppose to be .8902, but I got 0.895. I took 0.23 to the 6th power and subtracted it from 1. What am I doing wrong?

  • Probability/Stas -

    actually their answer is wrong as well

    you want the prob of losing 6 times in a row, so
    if prob of winning is .023 then the prob of losing in a game is .977

    so prob of losing 6 consecutive times
    = (.977)^6 = .8696958

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