141k views
5 votes
Logan walks his dog every day. They walk by the river 5 days a week and they walk around the block two days a week. When they walk by the river, they see a dog 85% of the time. When they walk around the block, they see other dogs 30% of the time. Determine the probability that Logan and his dog will see another dog on their walk tomorrow. Hint: Draw a tree diagram to represent this situation. (Which way do they walk? Do they see a dog?)

User ToNoY
by
8.3k points

1 Answer

0 votes

The probabilities of walking tomorrow by the river and the block are 5/7 and 2/7, respectively. On the other hand, the probabilities of seeing another dog by the river and the block are 0.85 and 0.3, respectively.

Therefore,


P(anotherDog)=(5)/(7)\cdot0.85+(2)/(7)\cdot0.3=(97)/(140)\approx0.693

Logan walks his dog every day. They walk by the river 5 days a week and they walk-example-1
User Keybee
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories