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andrezito [222]
3 years ago
10

Type the correct answer in the box. Write your answer as a reduced fraction, using / for the fraction bar. A six-sided fair die

is rolled 4 times in a row. The probability of getting a 4 only on the last trial is .
Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:   \bold{\dfrac{125}{1296}}

<u>Step-by-step explanation:</u>

The probability of NOT getting a 4 means the probability of getting a 1, 2, 3, 5, or 6 which is 5 out of 6 = \dfrac{5}{6}

The probability of getting a 4 is 1 out of 6 = \dfrac{1}{6}

The probability of getting a 4 only on the last roll is:

NOT 4    and     NOT 4    and    NOT 4   and     Yes 4

    \dfrac{5}{6}           x            \dfrac{5}{6}            x          \dfrac{5}{6}           x           \dfrac{1}{6}      =      \dfrac{5^3}{6^4}= \dfrac{125}{1296}

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