In a certain neighborhood 20% of the houses have gardens and 80% of the houses do not have gardens. 50% of the houses with gardens have dogs, while 10% of the houses without gardens have dogs. A cat wanders into a house. A. What is the probability that the house has a dog? B. If the house has a dog, what is the probability that the house does not have a garden?

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?