sdavis19 sdavis19
  • 21-05-2020
  • Mathematics
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What is the probability of rolling 4 even numbers on 4 rolls of a dice

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 21-05-2020

Answer:

1/16

Step-by-step explanation:

Possible outcomes when rolling a fair die = 1, 2, 3, 4, 5, 6 (i.e 6 possible outcomes)

Possible outcomes when rolling an even number = 2, 4, 6 (i.e 3 possible outcomes)

Hence P (rolling even number on 1 roll) = 3 / 6 = 1/2

P (Rolling 4 even numbers on 4 rolls) = (1/2)(1/2)(1/2)(1/2) = 1/16

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