Respuesta :
The probability that Dale will choose 5 sodas and 3 water is 0.391 and this can be determined by using the concept of probability.
Given :
- In Dale's cooler, there are 9 bottles of soda and 6 bottles of water.
- Dale is going to choose 8 bottles at random from the cooler to give to his friends.
The following steps can be used in order to determine the probability that he will choose 5 sodas and 3 water:
Step 1 - The concept of probability is used in order to determine the probability that he will choose 5 sodas and 3 water.
Step 2 - First, determine the total number of bottles.
Total Bottles = 9 + 6
= 15
Step 3 - So, the probability that he will choose 5 sodas and 3 water is:
[tex]\rm P = \dfrac{\;^9C_5 \times ^6C_3}{\;^{15}C_8}[/tex]
Step 4 - Simplify the above expression.
[tex]\rm P = \dfrac{126 \times 20}{6435}[/tex]
P = 0.391
For more information, refer to the link given below:
https://brainly.com/question/795909
