Mrs. Parker puts students into groups for a field trip. Each group is labeled with aletter, A or B, and a number from 1 to 6. She rolls a number cube and draws a lettertile from a bag to randomly place each student in a group. What is the probabilitythat Josie will be placed in an A group with an even number? Show your work.



Answer :

Answer

Explanation: To solve this question we may divide the problem into three pieces

- Probability that Julie will be placed in an A group

- Probability Julie has an even number

- The assemble of both probabilities

Step 1: For the first probability mentioned above we know that there are only 2 possible outcomes A or B and we want to know the probability to be just A which means

[tex]P_{groupA}=\frac{1}{2}[/tex]

Step 2: For the second probability we have 6 possible outcomes (1,2,3,4,5 or 6) and we want to know the probability to get a even number (2,)