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25 September, 02:34

Eva wants to know the probability of tossing "heads" at least three times out of five. She used the random number table to simulate flipping a coin. She assigned odd digits to represent "heads" and even digits, including zero, to represent "tails."

32766 53855 34591 27732

47406 31022 25144 72662

03087 35521 26658 81704

56212 72345 44019 65311

Use the table to find P ("heads" at least 3 out of 5 times).

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  1. 25 September, 03:59
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    To obtain the probability of obtaining heads at least 3 times out of 5 times we recall that in her simulation she assigned odd digits to represent heads and even digits to represent tails. Thus, we count the simulated numbers to see in how many numbers do we have 3 or more odd digits.

    Below, the simulated numbers with 3 or more odd digits are bolded.

    32766 538553459127732

    47406 31022 25144 72662

    03087 35521 26658 81704

    56212 72345 44019 65311

    We have 6 simulated numbers having 3 or more odd digits.

    Therefore, P ("heads" at least 3 out of 5 times) = 6 / 16 = 3 / 8.
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