Question

Q1. i have a big tub of jelly beans. the probability of picking each different colour of jelly bean is shown below: if i were to pick 60 jelly beans from the tub, how many orange jelly beans would i expect to pick? a) 25 b) 12 c) 0 d) 15

Answer 1

To find the expected number of orange jelly beans in 60 picks, the probability of picking an orange jelly bean is calculated first, and then multiplied by 60. The calculation involves subtracting the count of other color jelly beans from the total to determine the number of orange ones, then setting up a ratio for probability.

Step-by-step explanation:

The question is asking to calculate the expected number of orange jelly beans if 60 jelly beans are picked from a tub. To find this, we use the concept of probability and expected value. First, we need to determine the probability of picking an orange jelly bean (P(O)). Given there are 150 jelly beans in total and we know the count of all colors except for orange, we can find the number of orange jelly beans by subtracting the sum of the other colors from the total.

Calculation:

1. Total jelly beans = 150
2. Sum of known colors = 22 (red) + 38 (yellow) + 20 (green) + 28 (purple) + 26 (blue) = 134
3. Orange jelly beans = Total - Sum of known colors = 150 - 134 = 16
4. P(O) = Number of orange jelly beans / Total jelly beans = 16 / 150
5. Expected number of orange jelly beans in 60 picks = P(O) * 60 = (16 / 150) * 60

The calculation yields the expected number of orange jelly beans, which can then be compared to the options provided in the question to find the correct answer.