Independent and Dependent Events
Mohamed picks a color pencil from a box at random. He puts the first pencil back and picks a second pencil at random. Is this independent or dependent.
Independent
Can 2 or more Mutually exclusive events happen at the same same time?
No
Can you find experimental probability without doing an experiment?
No
What's the probability of rolling an even number on a fair 6-sided die?
1/2
6/2(1+2)
9
A coin is tossed and a single 6-sided die is rolled. Find the probability of landing on the head side of the coin and rolling a 3 on the die.
1/12
At CAPS, 34% of the students take a bus to school and 56% of the students walk to school.
What is the probability of randomly selecting a student that takes a bus or walks to school?
90%
Mohamed picks from a deck of 52 cards at random. For each card he gets, he writes down the suit of the card. he picks 4 clubs, 7 diamonds, 5 hearts, and 4 spades. He found the probability of drawing a spade to be 1/5. Did he find theoretical or experimental probability?
Experimental
A colored wheel has the colors green, blue, orange, and yellow.
What's the theoretical probability that the wheel won't land on green?
3/4
What type of function has to be symmetrical about the origin.
Odd
In a class of 20, there are 10 students who play basketball.
If the teacher chooses 2 students, what is the probability that both of them play basketball?
9/38
What is the probability of selecting a card from a standard deck of cards and the card is a 10 or an ace?
2/13
You have spun a colored wheel 40 times. It has landed on green 6 times. It has landed on yellow 14 times. It has landed on blue 9 times. It has landed on orange 11 times.
What is the probability of landing on green or blue.
3/8
A fair number cube has six sides, numbered 1 through 6.
Which of the events has the highest probability of occurring?
A. a number less than 3
B. an even number
C. a number greater than 2
D. an odd number
C
Is f(x) = x3 + 8x odd, even or neither?
Odd
A jar contains 6 red balls, 3 green balls, 5 white balls and 7 yellow balls. Two balls are chosen from the jar, without replacement. What is the probability that both balls chosen are green?
1/70
5 pens are in a box, 2 red, 2 black, and 1 green.
What is the probability you randomly choose a black pen first, do not replace it, and then choose a another black pen?
1/10
You have spun a colored wheel 40 times. It has landed on green 6 times. It has landed on yellow 14 times. It has landed on blue 9 times. It has landed on orange 11 times.
What is the experimental probability of not landing on green?
17/20
A 6-sided die is rolled.
What is the probability of landing on a number that is a divisor of 6.
2/3
Find the domain and range of x/x-3
(0, ∞) U (0, ∞)
A school survey found that 8 out of 10 students like soccer. If three students are chosen at random with replacement, what is the probability that all three students like soccer?
512/1000
5 pens are in a box, 2 red, 2 black, and 1 green.
What is the probability you randomly choose a black pen first, do not replace it, and then choose a red pen?
1/5
2 Minute question
https://docs.google.com/document/d/1tf7FIja5JW_jnfdXGJ3MzggjDYIbMdH5MrRHWp1dayo/edit?usp=sharing
In one month a trainspotter has spotted 126 trains that vary in color and kind. She decided to gather data on the trains in the table above. She found that 3/4 of the steam train was a green color. If a train with green color is chosen at random, what is the probability that it is an electrical train?
2/5
There are 70 marbles in a bag. 15 are blue, 30 are red, 20 are orange and 5 are yellow. What is the probability you would pick a blue marble?
3/14
f(x) = 5+4x/3
Find f-1(x)
3x-5/4