AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Vivian calls a bakery and orders a custom cake with a certain design. Later that day, Tommy calls to order a custom cake.Are these two events dependent or independent?Choices:(A)dependent(B)independent
Full solution
Q. Vivian calls a bakery and orders a custom cake with a certain design. Later that day, Tommy calls to order a custom cake.Are these two events dependent or independent?Choices:(A)dependent(B)independent
- Define Events: First, let's define what dependent and independent events are in probability. Dependent events are those where the outcome of one event affects the outcome of another. Independent events are those where the outcome of one event does not affect the outcome of another. In this case, we need to determine if Vivian's order of a custom cake affects Tommy's order of a custom cake.
- Assume Bakery Capacity: We can assume that the bakery can handle multiple orders and that one person's order does not affect another's ability to order a cake. Therefore, Vivian ordering a custom cake has no impact on Tommy's order. The two events are separate and do not influence each other.
- Events Independence Conclusion: Since Vivian's order does not affect Tommy's order, we can conclude that the events are independent. Each person's order is processed without regard to the other's, and the outcome of one does not change the probability of the outcome of the other.
