Use the following information for the first section of problems:
The Masterfoods Company says yellow candies make up 20% of their plain M&M’s, red another 20%, and orange, blue, and green each make up 10%.
The rest are brown.
We will assume the M&M's come from an extremely LARGE vat of M&M's.
If you pick an M&M at random, what is the probability that it is brown?
P(brown)=
If you pick an M&M at random, what is the probability that it is yellow or orange?
P(yellow or orange)=
If you pick an M&M at random, what is the probability that it is not green?
P(not green)= 1 - P(green)
If you pick an M&M at random, what is the probability that it is striped?
P(striped)=
Use the following information for the next section of questions:
The Masterfoods Company says yellow candies make up 20% of their plain M&M’s, red another 20%, and orange, blue, and green each make up 10%. The rest are brown.
If you pick three M&M’s (from a very very large bowl, 1000's, so they are independent).
What is the probability that they are all brown?
P(brown, brown, brown)=
If you pick three M&M's, what is the probability that none are yellow?
Hints: P(not yellow) = 1 - P(yellow)
P(not yellow, not yellow, not yellow)=
If you pick three M&M's what is the probability that the third M&M is the first one that is red?
Hint: P(not red, not red, red)=
If you select three M&M's what is the probability that none are green?
Remember: none means the complement
P(not green) =1-P(green)
P(3 not green)= P(not green)^3
If you select three M&m's what is the probability at least one is green?
Remember:
'at least one' reminds us to use 1- the complement
P(at least one green) =1 - P(not green, not green, not green)=
Think about drawing M&M's from a VERY VERY large bowful (a vat maybe?) so pulling out one doesn't impact the probability of pulling out the other.
If you draw one M&M, are the events of getting a red one or getting an orange one: disjoint, independent or neither?
Why?
Choose all that apply:
Think about drawing M&M's from a VERY VERY large bowful (a vat maybe?) so pulling out one doesn't impact the probability of pulling out the other.
If you draw two M&M's, one after the other, are the events of getting a red one for the first AND getting an orange one on the second: disjoint, independent or neither?
Why?
Choose all that apply:
You roll a fair dice three times.
What is the probability that you roll all 6's?
P(6, 6, 6)=
Round to three places past the decimal before turning to a percent.
You roll a fair dice three times.
What is the probability that you roll all odd numbers?
P(odd number, odd number, odd number)=
You roll a fair dice three times.
What is the probability that none of your rolls gets a number divisible by 3?
Hint:
What numbers are divisible by three that are on a dice?
How many numbers is this?
P(not divisible by 3)= 1- P(divisible by three)
P(none divisible by 3) = P(not divisible by 3, not divisible by 3, not divisible by 3)
You roll a fair dice three times.
What is the probability that you don't roll a 5 on all three rolls?
P(not 5)=
round to three places past the decimal.
You roll a fair dice three times.
What is the probability that you roll at least one 5?
Hint: 'at least one 5' means you should use the complement of getting no 5's, P(not 5)
P(at least one 5 in three rolls)= 1 - P(not 5, not 5, not 5)=
A slot machine has three wheels that spin independently.
Each wheel has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell.
If you play, what is the probability that you get 3 lemons on all three wheels?
P(lemon, lemon, lemon)=
A slot machine has three wheels that spin independently.
Each wheel has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell.
If you play, what is the probability that you get no fruit symbols on all three wheels?
P(no fruit, no fruit, no fruit)=
A slot machine has three wheels that spin independently.
Each wheel has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell.
If you play, what is the probability that you get 3 bells (the jackpot!)?
P(bell, bell, bell)=
A slot machine has three wheels that spin independently.
Each wheel has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell.
If you play, what is the probability that you get no bars on all three wheels?
A slot machine has three wheels that spin independently.
Each wheel has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell.
If you play, what is the probability that you get at least one bar (an automatic loser)?
Hint: this is P(at least one bar) = 1 - P(no bars on all three wheels)