Jessica does not have any cat food and plans to buy some on

Jessica does not have any cat food and plans to buy some on her way home from work. However, she tends to be forgetful. Even though she passes by the grocery store, the probability that she will remember to stop is 0.6. If she remembers to stop, Jessica will decide to pick up other things that she also needs. The probability that she will include the cat food among her purchases is 0.5. What is the probability that Jessica will have cat food to give her cat when she gets home?

Solution

Here,

P(cat food) = P(passes by grocery) P(buy cat food|passed by grocery)

= 0.6(0.5)

= 0.30 [answer]