Hey everybody, I have a worksheet to prepare for an upcoming test and I'm stumped on a few questions. I'll include where I currently stand on them and I'm just trying to make sure that I'm doing these right so I'm confident when I run into problems like this on the test:
1. Jeff has 6 different pairs of gloves in a drawer. If two gloves are chosen at random from the drawer, what is the probability that they will be a matched pair?
- Since the first glove pulled doesn't affect the probability, isn't this just 1/11 or .091?
2. Suppose your company work group has 10 members. What is the probability that you will be chosen to represent your group if:
a) one representative is chosen? b) two representatives are chosen?
- Isn't this 1/10 or .1? - I'm torn between 2/10 or .2 and 2/100 or .02 (not sure if either of these are correct)
3. In the state tournament, the Eagles have a 40% chance of winning, the Raptors have a 30% chance of winning, and the only other two teams (the Cardinals and Orioles) are equally likely to win. What is the probability that:
a) the Cardinals win? b) the Raptors DON'T win? c) either the Eagles or the Orioles win?
- 15% or .15? - 70% or .70? - 55% or .55?
(I'm questioning these because I don't think this problem is that easy or if I'm even doing this right at all)
4. If a fair six-sided die is rolled 5 times and the results of each roll are recorded, then how many recorded sequences end with 4, 6?
- I did 12*5 here to come up with 60?
5. What is the probability that exactly 3 sixes are recorded when 5 fair dice are thrown?
- I got 3.21% or .0321 here
6. What is the probability that exactly 3 clubs are showing then 5 cards are dealt from a 52-card deck?
- I did 13/52 * 3/5 here to get 15% or .15
Any help or guidance here would be fantastic and I'd greatly appreciate it. Thanks!
1. Jeff has 6 different pairs of gloves in a drawer. If two gloves are chosen at random from the drawer, what is the probability that they will be a matched pair?
- Since the first glove pulled doesn't affect the probability, isn't this just 1/11 or .091?
2. Suppose your company work group has 10 members. What is the probability that you will be chosen to represent your group if:
a) one representative is chosen? b) two representatives are chosen?
- Isn't this 1/10 or .1? - I'm torn between 2/10 or .2 and 2/100 or .02 (not sure if either of these are correct)
3. In the state tournament, the Eagles have a 40% chance of winning, the Raptors have a 30% chance of winning, and the only other two teams (the Cardinals and Orioles) are equally likely to win. What is the probability that:
a) the Cardinals win? b) the Raptors DON'T win? c) either the Eagles or the Orioles win?
- 15% or .15? - 70% or .70? - 55% or .55?
(I'm questioning these because I don't think this problem is that easy or if I'm even doing this right at all)
4. If a fair six-sided die is rolled 5 times and the results of each roll are recorded, then how many recorded sequences end with 4, 6?
- I did 12*5 here to come up with 60?
5. What is the probability that exactly 3 sixes are recorded when 5 fair dice are thrown?
- I got 3.21% or .0321 here
6. What is the probability that exactly 3 clubs are showing then 5 cards are dealt from a 52-card deck?
- I did 13/52 * 3/5 here to get 15% or .15
Any help or guidance here would be fantastic and I'd greatly appreciate it. Thanks!