Likelihood & Theoretical Probability
Define Probability
The likelihood of something happening
13/52
or 1/4
Define a compound event
there are two or more events
Define a simulation
a model of a real-life situation that can be used to find probabilities
There are 40 black wristbands, 20 yellow, 25 orange, and 15 purple. What is the probability of getting an orange wristband?
25/100
What is the probability of rolling a dice and landing on a prime number?
3/6 or 1/2
If a card generator picked a diamond 62 times, a heart 57 times, a spade 75 times, and a club 76 times, what is the experimental probability of picking a heart?
57/270
How many different outcomes with the compound events of rolling a dice and flipping a coin?
12 different outcomes
From #1 Part B in Station 4, Let the numbers from ___ to ___ represent a successful free throw.
0 to 8
What is the sample space for a spinner that has a 1, 1, 2, 3, skip, 4, 5, 6, skip?
S={1,1,2,3,4,5,6,skip,skip}
The engineering club is handing out T-shirts to its members. There are 6 red, 5 black, and 9 white T-shirts in all. If Erin was handed a T-shirt, what is the probability that the color is black? Turn into a decimal and percent.
5/20
.25
25%
A spinner has eight equal-sized sections numbered 1 , 1, 1, 2, 3, 4, 4, 5. What is the sample space for the spinner?
S = { 1, 1, 1, 2, 3, 4, 4, 5}
What is the probability that I flip a tails and roll an odd number?
3/12 or
1/4 or
25%
From #1 Part C in Station 4, Let the numbers from ___ to ___ represent a missed free throw.
9 to 9 (or just 9)
A game has a 50 players who played and there were 14 winners, how many winners would you expect if there were 150 players?
42 winners
The engineering club is handing out T-shirts to its members. There are 6 red, 5 black, and 9 white T-shirts in all. If Erik was handed a T-shirt, what is the probability that the color is red or white? Turn into a decimal and percent.
15/20
.75
75%
If a card generator picked a diamond 62 times, a heart 57 times, a spade 75 times, and a club 76 times, how many spades would be expected if 540 cards are picked altogether?
75/270=x/540
where x=150
Three people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. What is the probability that Jake wins prize 1? Explain
1/6 because he can only win that prize one time out of the 6 possible outcomes.
From #1 Part D in Station 4, what is the probability that at least one free throw was missed?
1/10
If there are 4 prizes and 4 people play (Jayden, Joey , Ana, and Noah), what is the probability that Joey wins prize 3?
1/16
If P(1) = 1/2 and P(2) = 1/4, what would P(3) be to complete the model?
1/4 or 0.25
0.50 + 0.25 = 0.75
1.00-0.75= 0.25 or 1/4
If a card generator picked a diamond 62 times, a heart 57 times, a spade 75 times, and a club 76 times, which suit has an experimental probability closes to the theoretical probability?
Theoretical Probability for each suit= 1/4 or 25%
Diamond = 62/270 = 22.9%
or a spade 75/270 = 27.7%
Will the probability change if the prizes were chosen first instead of the names? (#2 for Station 3)
No because it would be the same number of combinations and the combinations would stay the same.
From #1 Part D in Station 4, what is the probability that exactly three shots were successful?
9/10
Which of the following probability models would the probability P(1)= 1/5 complete?
P(2)= 3/10 and P(3)= 1/2