I Example 7 A manufacturer finds that 10% of articles made in his factory are defective. If he takes 3 articles at random what is the probability that there are more defective than non defective articles amongst the three.
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- An animal shelter had a 65 % adoption rate for puppies. Of all puppies in the shelter , 75% live to be 7 years or older . Of the puppies who are adopted , 80% live to be 7 years older . What is the probability that a randomly selected puppy in the shelter will get adopted and live 7 or more yearsSuppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?In a group of 80% female and 20% male; 3/4 of women and 1/2 of men do sports. What is the probability that someone selected from the group is a woman or a sports person?
- A person rides uber 30% of the time, her roommate gives her a ride 30% of the time and she rides with her mom 40% of the time. She is late 10% of the time with her roommate she is late 3% of the time when she rides uber and 7% of the time when she rides with her mom. What is the probability that she wil be on time if she rides with her roommate?In a game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. A winning blackjack hand is won by getting 1 of the 4 aces, and 1 of 16 other cards worth ten points The two cards can be in any order. Find the probability of being dealt a blackjack hand. What approximate percentage of hands are winning blackjack hands?All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?
- Cheetahs account for 44% of big cats in zoos, with males accounting for 25%. . Also, 68% of the males are cheetah. A large cat is chosen at random. What is the probability that it is a male cheetah?Two machines turn out all the paper bags produced in the plant. Machine A produces 38% of the bags and machine B produces 62% of the bags. Machine A produces defective bags 1.9% of the time and machine B produces defective bags 3.8% of the time. Given a defective bag, what is the probability that it came from machine B?If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
- Suppose we build a taco-making machine. But there is a fatal flaw in the machine, where for each taco made, there's a 5% chance that it's actually a toxic taco. If the machine makes 100 tacos, what is the probability that at most 2 of them are toxic?A survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car, 25% own a bicycle, and 9% own both. Find the probability that a faculty member chosen at random owns a car or a bicycle (or both).In a certain examination 7% of the candidates failed in Science, 17% failed in English and 4% failed in both Science and English. Find the probability that a candidate selected at random failed either in Science or in English or in both.