Answer:
Probability of getting Dr. Pepper the fourth time =
Probability of getting a cherry coke the fifth time =
Combined probability =
Step-by-step explanation:
Formula for probability of an event E can be observed as:
It is given that first time a Cherry coke is chosen and it is not replaced.
So, number of cherry coke left = 2
Dr. Pepper is chosen twice and is not replaced, so
Number of Dr. Pepper left = 3 - 2 = 1
Total number of soda left = 10 - 3 = 7
So, probability of getting Dr. Pepper the fourth time =
Now, total number of soda left = 7 - 1 = 6
Probability of getting a cherry coke the fifth time =
The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time