Probability of selling ice cream at the shop

What is the probability that the ice cream shop will be able to sell ice cream?

Probability of selling ice cream:

In order to calculate the probability of being able to sell ice cream at the shop, we need to consider the reliability of the three ice cream machines and the cashier.

The first ice cream machine has a reliability of 11%, the second machine has a reliability of 26%, and the third machine has a reliability of 35%. Additionally, the cashier will show up 85% of the time.

To find the probability of being able to sell ice cream, we need to calculate the probability that at least one ice cream machine is functioning and the cashier is present.

Let's calculate the probability:

1. The probability of the first machine not working is 1 - 0.11 = 0.89.
2. Similarly, the probabilities for the second and third machines not working are 1 - 0.26 = 0.74 and 1 - 0.35 = 0.65, respectively.
3. The probability of the cashier not showing up is 1 - 0.85 = 0.15.
4. To calculate the probability of none of the machines working and the cashier not showing up, we multiply the individual probabilities: 0.89 x 0.74 x 0.65 x 0.15 = 0.0685.
5. Finally, the probability of being able to sell ice cream is 1 - 0.0685 = 0.9315, or 93.15%.