In a certain community, the probability that a family owns a dog is 24%. Given that a family owns a dog, the probability that they also own a cat is 25%. It is also known that 33% of all the families own a cat What is the probability that a randomly selected family owns a cat? What is the conditional probability that a randomly selected family owns a dog given that it owns a cat? Hint Write out each of the probabilities you've been given in probability notation, as well as the probabilities you need to find. You may need to find a joint probability (P(A and B)) before you can answer the 2nd question. It may help to draw a Venn Diagram. Be sure to give your answers to at least 4 decimal places.

Q: Determine if the events in the problem are independent or dependent, then find the probability of…

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A: Solution

Q: who is more likely to attend both activities?

A: here use concept of independent event if A and B independent events then p(A and B ) = p(A).p(B)

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