Probability

9. A couple plans to have three children. What is the probability that a) they have all boys? b) they have at least one girl?

14.A race consists of 10 women and 10 men. Find the following probabilities for the top three finishers: P(all men) P(all women) P(2 men and 1 woman) = P(1 man and 2 women) Round all answers to four decimal places. L

15.A ball is drawn randomly from a jar that contains 2 red balls, 6 white balls, and 8 yellow ball. Find the probability of the given event. (a) A red ball is drawn; The probability is : (b) A white ball is drawn; The probability is : (c) A red or white ball is drawn; The probability is :

16. Nine bands are to perform at a weekend festival. How many different ways are there to schedule their appearances?

2. Using the same experiment and sample space as in question #1, what is the probability of selecting someone with AB blood type?

4. In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be randomly chosen for early release. What is the probability that a group consisting of 2 Democrats and 2 Republicans will be chosen for early release?

7. A five-sided dice (with the numbers 1, 2, 3, 4, 5) is thrown 4 times.

6. There are 8 students, from whom 4 are chosen to represent their team at a meeting. If Valentina or Nico, but only one of them, must be chosen, in how many ways can the students be chosen to go to the meeting?

9. There are 10 cans of fruit juice left in a bowl, 3 of apple juice (A), 5 of orange juice (O), and 2 of grape juice (G). You reach into the container and randomly select two cans in succession. Find the probability of: (i) selecting two cans of apple juice (b) 15 (a) 2 45 (ii) Selecting no cans of apple juice (a) 7 15 (b) (iii) Selecting one can of apple juice 7 30 3 10 (b) (c) 3 50 (c) 0 15 15 100 (d) None of the above (d) None of the above

8. The table lists the smoking habits of a group of 400 college students