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- 12. A bag contains 5 black and 7 white balls. A ball is drawn out of it and replaced in the båg. Then a ball is drawn again. What is the probability that (i) both the balls drawn were black, (ii) both were white, (iii) the first ball was white and the second black, (iv) the first ball was black and the second white.5. Suppose box A contains 3 red balls and 2 blue balls and box B contains 4 red balls and 1 blue ball. An experiment consists of drawing a ball from box A and then putting it in box B. A ball is then drawn from box B. What is the probability the first ball drawn was red given the second ball drawn was red?1. When a single card is drawn from a well-shuffled deck of cards, what is the probability that it will be а. асе? b. red ace? c. a diamond? d. an ace or a diamond? e. ace of diamonds? f. ace given diamond ?
- 6. Janice, Tom, John, and Tamara are trying to decide on who will make dinner and who will wash the dishes afterwards. They randomly pull two names out of a hat to decide, where the first name drawn will make dinner and the second will do the dishes. Determine the probability that the two people pulled will have first names beginning with the same letter. Assume the same person cannot be picked for both.3. Among the products of the first company, defective is 10%, the second - 20%, the third - 25%. We bought 6 products from the first company, 8 from the second and 4 from the third. For verification, one product was tested. Find the probability that it is valid.11. As a small business owner, you decide to randomly give two of your loyal customers a $100 gift card each. To decide who gets the gift cards, you write down the names of each loyal customer and draw them out of a hat. You draw two names without replacement so that one person does not get both $100 gift cards. Of the 6 loyal customers you have, 3 live in Georgia. What is the probability that both of the $100 gift cards go to a loyal customer living in Georgia? .2 O.25 O.3 O none of the above are correct
- 1. Five red books, six green books, and four blue books are to be arranged on a shelf. What is the probability that at least 3 green books all stand together?12. A bag contains 6 red and 3 white balls. Four balls are drawn out one by one and not replaced. What is the probability that they are alternatively of different colours.7. There are four tickets in a box, numbered from 1 to 4. We draw two without replacement. What is the probability of getting a "1" and a "“2" (in no particular order).