CSCI 246 Class 18 PROBABILITIES AND COUNTING Quiz Questions - - PowerPoint PPT Presentation
CSCI 246 Class 18 PROBABILITIES AND COUNTING Quiz Questions Lecture 30: What is the probability of flipping one heads and one tails when flipping two fair coins? Lecture 31: Give the permutations for n = 3 Note, Im not
PROBABILITIES AND COUNTING
Lecture 30:
What is the probability of flipping one heads and one tails when flipping two fair
coins?
Lecture 31:
Give the permutations for n = 3
Note, I’m not asking for the number of permutations
Finishing remarks from Friday:
elance.com udacity.com
Project Question Grades Quiz
Probability
Sample Space S Probabilities: 0 < P(x) < 1; 𝑄 𝑦 =
1 |𝑡|
𝑄 𝐹𝑤𝑓𝑜𝑢 =
|𝐹| |𝑡|
Probability
Monty Hall Game: https://www.youtube.com/watch?v=mhlc7peGlGg
Multiplication Rule
The probability of event A and event B occurring (assuming independence of
each other) = P(A) * P(B)
Example: Dice
Permutation
Say we have 3 chairs and 7 people, what are the number of possible ways to
seat these people?
Notation notes: 𝟖𝑸𝟒, 𝑸𝟒
𝟖, 𝑸(𝟒, 𝟖)
Rule of Addition When two events, A and B, are mutually exclusive, the probability that A
P(A or B) = P(A) + P(B) Example: A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green?
1.
Assuming a standard playing deck of 4 suits, each with 13 cards, what is the probability of getting a jack? P(jack) = ?
2.
Assuming a standard playing deck of 4 suits, each with 13 cards, what is the probability of getting a jack that is also a heart? P(jack AND heart) = ?
3.
Assuming a standard playing deck of 4 suits, each with 13 cards, what is the probability of getting a jack or a heart? P(jack OR a heart) = ?
4.
Assume you have 13 people and 5 chairs, what are the total possible ways for people to sit in those chairs?
5.
What is the probability of rolling a 4 on the first roll and an even number on the second role when using a fair dice?
6.
A spinner has 4 equal sectors colored yellow, blue, green, and red. What is the probability of landing on red or blue after spinning this spinner?
1.
If a dice is rolled once, what is the probability that it will show a prime number ( 1 is not prime)
2.
If a coin is flipped twice, what is the probability that it will land heads at least once?
3.
Which of these numbers cannot be a probability? a) -0.00001 b) 0.5 c) 1.001 d) 0 e) 1 f) 20%
4.
What are the total number of permutations for 7 people to sit in 7 chairs?