Answer Happy

2. A bowl contains six white and five red balls, while a second bowl contains three white and seven red balls. We select randomly a ball from the first bowl and place it in the second. Then, we choose at random a ball from the second bowl. What is the probability that the ball selected is red? 3. From an usual pack of 52 cards, we select a card at random. Then we select another card from the remaining 51 cards. What is the probability that the second card chosen is (a) an ace? (b) a diamond? (c) the ace of diamonds? 4. Among the drivers insured with an insurance company, 45% made no claims during a year, 35% made one claim, and 20% made at ledst two claims. The probabilities that a driver will make more than one claim during a year if during the previous year the driver had 0, 1, and 2 or more claims, are 0.1,0.3, and 0.6, respectively. Find the probability that a randomly selected driver will make at least two claims during the following year. 5. A factory has three production lines that produce 50%, 30%, and 20%, respectively, of the items made in the factory during a day. It has been found that 0.7% of the items produced in the first line of production are defective, while in the second and third lines the corresponding proportions are 1% and 1.2%, respectively. Calculate the proportion of defective items produced in the factory durina dom