Independent and Dependent Events
An Jack is drawn, without replacement, from a deck of 52 cards. Then a second King is drawn.
Independent or Dependent?
Dependent
EVENT:
Drawing a card from a standard deck you get a queen or a seven.
Is this mutually exclusive?
No
Anita has the option to play basketball or soccer. She can only choose one each year for two years of middle school.
BB, BS, SS, SB
A team of 8 basketball players needs to choose a captain and co-captain.
Permutation or combination?
Permutation
You roll two dice and get a six each time.
Independent
EVENT:
Tossing a coin and getting heads or tails.
Is this mutually exclusive?
NO
Create an organized table for the sample space.
A publishing company has two writers. Each writer is expected to write two new books each. The books will need to be a historical fiction book and a biography.
SEE PICTURE
There are 45 applicants for three Computer Programmer positions.
Permutation or combination?
Combination
In a game, you roll an even number on a die. You then spin a spinner numbered 1 through 6 and get an even number. Find the probability.
1/4
EVENT:
Rolling a pair of dice and getting a sum of either 4 or 10.
Is this mutually exclusive?
YES.
Sam wants to make a sandwich for lunch. He has 3 deli meat options, 4 cheese options, 2 lettuce types, and 3 sauce options. Find the total number of possible different sandwiches Sam can make.
72 sandwiches
The student body of 10 students wants to elect a president, vice president, secretary, and treasurer. Find the number of possibilities.
5,040
Tisha's class is having a gift exchange. Tisha will draw first and her friend Brandi second. There are 18 students in the class.What is the probability that Brandi and Tisha draw each other's name?
1/306
Find the probability.
Selecting a number at random from integers 1 to 20 and getting an even number or a number divisible by 3.
13/20
Given:
Q={0,2,4,6}
W={0,1,2,3}
Z={1,2,3,4}
What is the intersection of sets Q, W, and Z?
{2}
5 out of 13 students will ride in a car instead of a van. Find the number of possibilities of students who will ride in the car.
1,287
A blue marble is selected at random from a bag of 3 green marbles and 9 blue marbles. The marble is not replaced. What is the probability that a second marble is drawn and it is blue?
6/11
Find the probability.
Drawing a card from a standard deck and not getting a diamond.
3/4
If A={0,1,3,4,6,7}, B={0,2,3,5,6}, and C={0,1,4,6,7}. Find the union of A, B, and C.
{0,1,2,3,4,5,6,7}
Evaluate.
8C5 (7C3)1,960