Answered

Study the information about the jellybeans, then do questions 3-5
A bag of 50 jellybeans has 10 pink jellybeans, 10 yellow jellybeans, 5 red jellybeans, 15 blue jellybeans and 10
green jellybeans.
6
What is the probability of not picking a blue jellybean from the bag? * (10 Points)
5%
70%
25%



Answer :

To solve this problem, let's follow a step-by-step approach to find the probability of not picking a blue jellybean from the bag.

1. Determine the total number of jellybeans:
We are given that the total number of jellybeans in the bag is 50.

2. Determine the number of blue jellybeans:
We are given that there are 15 blue jellybeans in the bag.

3. Calculate the probability of picking a blue jellybean:
The probability of picking a blue jellybean is found by dividing the number of blue jellybeans by the total number of jellybeans.
[tex]\[ \text{Probability of blue jellybean} = \frac{\text{Number of blue jellybeans}}{\text{Total number of jellybeans}} = \frac{15}{50} = 0.3 \][/tex]

4. Calculate the probability of not picking a blue jellybean:
The probability of not picking a blue jellybean is simply [tex]\(1\)[/tex] minus the probability of picking a blue jellybean.
[tex]\[ \text{Probability of not blue jellybean} = 1 - \text{Probability of blue jellybean} = 1 - 0.3 = 0.7 \][/tex]

5. Convert the probability into a percentage:
To convert the probability into a percentage, we multiply by 100.
[tex]\[ \text{Percentage of not picking a blue jellybean} = 0.7 \times 100 = 70\% \][/tex]

Therefore, the probability of not picking a blue jellybean from the bag is:

70%