Question

when walking home from school during the summer months, Harold buys either an ice-cream or a drink from the corner shop. If Harold bought an ice-cream the previous day, there is a 30% chance that he will buy a drink the next day. If he bought a drink the previous day, there is a 40% chance that he will buy an ice-cream the next day. On Monday, Harold bought an ice-cream. Determine the probability that he buys an ice-cream on Wednesday.

Answer 1

To determine the probability that Harold buys an ice-cream on Wednesday, we consider the probabilities for each day. Given that he bought an ice-cream on Monday, there is a 40% chance that he will buy an ice-cream on Wednesday.

Step-by-step explanation:

To determine the probability that Harold buys an ice-cream on Wednesday, we need to consider the probabilities for each day.

Given that he bought an ice-cream on Monday, there is a 30% chance that he will buy a drink on Tuesday and a 40% chance that he will buy an ice-cream on Tuesday.

Using the probabilities, we can calculate the probability that Harold buys an ice-cream on each day:

Monday: 1 (since he bought an ice-cream)

Tuesday: 0.4 (40% chance of buying an ice-cream based on previous ice-cream purchase)

Wednesday: 0.4 (40% chance of buying an ice-cream based on previous ice-cream purchase)