whitakeryadrian whitakeryadrian
  • 20-05-2019
  • Mathematics
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a fair die is tossed four times. Find the probability of obtaining each of the following. 5 on all four tosses

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frika
frika frika
  • 20-05-2019

Answer:

[tex]\dfrac{1}{1296}[/tex]

Step-by-step explanation:

When a fair die is tossed once, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.

The probability of rolling 5 is [tex]\dfrac{1}{6}.[/tex]

When a fair die is tossed four times, the probability of rolling 5 all four times is

[tex]\dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}=\dfrac{1}{6^4}= \dfrac{1}{1296}[/tex]

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