What is probabilty of rolling die

Question

When rolling a die 4 times what is the probabilty that you will get

A.) 3, 4, 5, 6 in that order

B.) Two even numbers followed by two odd numbers in that order

Answer 1

Hi Kat,

Scenario A: Rolling 3, 4, 5, 6 in that order

The probability for each roll is 1/6. Since each roll is independent, you multiply the probabilities together. So, the chance of rolling 3, 4, 5, 6 in that exact order is (1/6)^4, which equals 1/1296.

Scenario B: Two even numbers followed by two odd numbers

The probability of rolling an even number on one roll is 1/2. The same goes for rolling an odd number. You want two even numbers followed by two odd numbers. So, the probability for this scenario is (1/2)^4, which equals 1/16.

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