Write each of these answers to 4 significant digits You can

Write each of these answers to 4 significant digits. You can use Scientific Notation for the Answer.

For example: your decimal answer is 0.0000230567, multiply by 100 to get percent....0.00230567. The four significant digits are 2305, thus for normal answer: 0.002305%, and for Scientific: 2.305E-3%

The probability of winning a game is 23.3% for each attempt.

(1) What is the probability that you will not win the game (one attempt)?

(2) What is the probability that you will win the game 3 times in a row?

(3) What is the probability of loosing at least once out of 3 times of playing this game?

(4) What is the probability of loosing 3 in a row?

(5) What is the probability of winning at least once when the game is played 3 times in a row?

Solution

1)

P(not win) =1 - P(win) = 1 - 0.233 = 0.767 = 76.7% [answer]

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2.

P(win 3 consecutive) = P(Win)^3 = 0.233^3 = 0.012649337 = 1.265%

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3.

P(not win at least once) = 1 - P(win all 3 times) = 1 - 0.233^3 = 0.987350663 = 98.74% [answer]

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4.

P(not win 3 in a row) = (1-0.233)^3 = 0.451217663 = 45.12% [answer]

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5.

P(win at least once) = 1 - P(no win) = 100% - 45.12% = 54.88% [answer]