A survey of 100 high school students found that 40 students play on a soccer team (Event A) and 25 students play on a basketball team (Event B). No student plays on both a soccer team and a basketball team because the seasons and game times overlap completely. Draw the venn diagram.
Two separate circles with 35 outside both circles.
The probability for rolling a 4 on a standard 6-sided die.
1/6
Mutually exclusive or inclusive?
The events "King" and "Queen" in a deck of cards
Mutually exclusive
The probability of drawing a club from a deck of cards.
1/4 or 0.25 or 25%
Max surveyed 40 people about whether they own a cat or a dog. 17 people own a dog (Event A), 14 people own a cat (Event B), and 7 people own both a cat and a dog. Draw the venn diagram, and determine the probability that a person owns neither a dog nor a cat.
16
The probability for rolling an odd number is on a standard 6-sided die.
1/2
Mutually exclusive or inclusive?
The events "composite number" and "even number" on a standard number cube.
Inclusive
(4 and 6)
The probability of drawing an ace from a deck of cards.
1/13 or about 0.08 or about 8%
You roll two dice and add the resulting rolls What is the probability that the sum is 9?
1/9
Which of the following is real, and which is a myth?
Law of Averages
Law of Large Numbers
Myth: Law of Averages
Real: Law of Large Numbers
The probability of drawing a Jack of Hearts or a black card from a deck of cards.
27/52 or about 0.52 or about 52%
What is the probability of rolling a 3 or a number greater than 2 on a standard 6-sided die?
2/3
Determine the sample space (use proper notation!!!):
Rolling two dice
S = {1,1; 1,2;1,3;...6,6}
S= {all 36 possibilities}
The probability of drawing a three or a diamond from a deck of cards.
4/13 or about 0.31 or about 31%
You roll a standard number cube twice. What is the probability that you roll the same number both times?
1/6
Using proper notation, answer the following:
If the probability that you will get an A on this quiz if you study is 0.95, what is the probability that you will get an A on this quiz if you don't study?
P(AC) = 1 - P(A) = 1 - 0.95 = 0.05