Question

write your own multiple event probability problem and solve it as if you are explaining your reasoning to a friend.

Answer 1

Problem:

You and your sister have six-sided dice each one. What is the probability that if both roll your dice, you get an even number and your sister get an odd number.

Now, each dice has 6 numbers: 1,2,3,4,5,6

The even numbers are: 2,4,6 (3 options)

The odd numbers are: 1,3,5 (3 options)

Now, the probability of rolling an even number is:

`P(e)=(3)/(6)`

And the probability of rolling an odd number is:

`P(o)=(3)/(6)`

Then, the probability that you get an even number and your sister an odd number is the product of the probabilities of each event:

`\begin{gathered} P(e\cap o)=P(e)*P(o) \\ \\ P(e\cap o)=(3)/(6)*(3)/(6) \\ \\ P(e\cap o)=(9)/(36)=(1)/(4) \end{gathered}`

The probability is 1/4