Simple or Compound
Flipping heads on a coin is an example of a...
Simple Event
*only 1 event is a simple event; you find the probability and you are done (e.g. P heads on a coin: 1/2 as there is 1 head and two outcomes on a coin: heads and tails)
If you play as imposter on 20% of Among Us games, how many times can you expect to play imposter on 10 games?
2
*20% you are an imposter is + 20/100 meaning if you play 100 times, you'd be an imposter 20 times. So if you set up a proportion 20/100 = ?/10 you'd divide top and bottom by 10 getting 2/10 times. So 2 times you'd be the imposter if you only played 10 times.
A donut shop sells 3 kinds of juice and 5 kinds of donuts. How many ways can you buy one juice and one donut?
15 way
*you can make a tree diagram OR you can think 3 outcomes for juice x 5 outcomes for donuts = 15 total ways
Drawing 2 aces in a hand of 5 is an example of a...
Compound Event
*It's a compound event (a.k.a multiple events) as you are doing more than 1 thing. You are trying to find P drawing in Ace from 5 cards and than P drawing another Ace from the cards. Once you find both you MULTIPLY the probabilities as you are trying to find the probability of MULTIPLE events.
1 out of 3 customers upgrade their combos to a large. How many combos will be upgraded if the restaurant sees 300 customers?
100
*1/3 upgrade then I'd make a proportion 1/3=?/300. I'd multiply by 100 upstairs and downstairs, so I'd get 100 customers out of 300 would be upgraded.
A bag has a red chip, blue chip, yellow chip, and green chip. What is the probability of drawing a red chip, replacing it, and then a blue chip?
1/16
*The P red and blue is:
P red is 1/4 then you put it back
P blue chip is not 1/4
Multiply events: multiply 1/4 x 1/4 = 1/16
Your friend puts one extra spicy chip in a bag with a bunch of normal chips. Getting the spicy chip on the first chip you eat is an example of a...
Simple Event
**only 1 event is a simple event; you find the probability and you are done
10 students in a 7th grade class of 20 are making a B or better. How many students are making a B or better among all 300 7th graders?
150
*10/20 are making a B, that is the same as 1/2 that are making a B. So if there are 300 7th graders, 1/2 of them would be 150.
A bag has a red chip, blue chip, yellow chip, and green chip. What is the probability of drawing a red chip, replacing it, and then a blue chip?
1/12
*The P red and blue is:
P red is 1/4 then you keep it so there is only a blue, yellow and green still there.
P blue chip is now 1/3 (remember the red chip is gone so you are down a chip)
Multiply events: multiply 1/4 x 1/3= 1/12
Getting the winning lottery numbers is an example of a...
Compound Event
*
Compound Event
*It's a compound event (a.k.a multiple events) as there are SEVERAL numbers on a lottery ticket. You are trying to find P of each number in its position and then multiply ALL those probabilities together as it is MULTIPLE events (since the ticket has more than 1 number). This is why you have a 5 times better chance of being struck by lightning than winning the lottery.
A restaurant sells three kinds of sandwiches: Bacon, sausage, and ham. If 20% of sandwiches sold are bacon sandwiches, how many bacon sandwiches are sold out of 150?
30
*If 20% = 20/100 are bacon sandwiches, I'd make a proportion of 20/100 = ?/150. I multiply top and bottom by 1.5 so that would be 20 x 1.5 = 30 sandwiches with bacon.
What are the odds of rolling a number divisible by 5 on a pair of dice?
1/36
***5 is the only number divisible by 5 (and here is only 1 five on EACH die)so there is a 1/6 chance on one die and 1/6 chance on another die. When you multiply these MULTIPLE events you get:
1/6 x 1/6 = 1/36 so the answer is 1/36 chance
Spinning a spinner and rolling a die is an example of a Simple or Compound Event?
Compound Event
Compound Event
*It's a compound event (a.k.a multiple events) as you are doing more than 1 thing. Once you find both you MULTIPLY the probabilities as you are trying to find the probability of MULTIPLE events.
A class of 15 has 5 kids who wear glasses. If the school has 600 students, how may of those students DON'T need glasses?
400
*So, if 5/15 WEAR glasses then 10/15 don't wear glasses. If there is 600 students, I'd set up a proportion and solve it. 10/15 x ?/600 = I'd multiply by upstairs and downstairs by 40 and get 440/600 who DON'T need glasses.
What are two ways to FIND all possible outcomes of a situation.
Make a tree diagram (like we did in class) and fundamental counting principle (multiple the number of outcomes together)
*Probability of spinning on a spinner with 10 equivalent (10 outcomes) colors and flipping tails on a coin (2 outcomes) so 10 x 2 is 20 outcomes. This is fundamental counting principle.