What is the formula to calculate geometric probability?
P=desired/total(or whole)
100
A die is rolled twice. How many possible outcomes are there?
6x6=36 outcomes
100
How do you know when you are dealing with a permutation or a combination (i.e what is the main difference between a permutation and combination?)
Permutation-dealing with order
Combinations-without order
200
A tourist leaves town A and drives 100 km to arrive at town D. The route taken is the following: he drives 56km to get to town B, 24km to get from town B to C, and 20km from town C to D. The tourist stops at the gas station along the way. What is the probability that his stop occurred between towns B and C?(reduce your answer!)
P=24/100=6/25
200
A die is rolled. What is the probability of rolling an even number?
P=3/6=1/2
200
In how many ways can 6 books be placed on a bookshelf?
6! =720 ways(Permutation –order matters!)
300
Given a square with side measuring 10m and an equilateral triangle inscribed inside the square with sides measuring 8m. What is the probability that a randomly generated point is inside the triangle?(Round your answer to the nearest meter!)
P=28/100=7/25
300
What is the sample set of tossing a coin and a 6-sided die?
Two people are throwing darts at a dartboard with diameter 36m. What is the probability that a random dart will hit the purple ring provided the diagram on the board:
P=33/324 or 0.10
400
What is the probability of picking the 5 of hearts and the queen of diamonds from a deck of 52 cards?(reduce your answer!)
P=1/52+1/52=2/52=1/26
400
How many possible choices are there for picking a president, secretary and treasurer from a group of 10 people,if the same person cannot hold more than one position?
10x9x8=720 ways (Permutation-order matters!)
500
A circular wheel is divided into 4 different colored sectors. In the pink sector, the central angle measures 45 degrees and the central angle of the blue sector measures 36 degrees. A pointer is attached to the center of the wheel. When someone spins the pointer, it can stop anywhere on the wheel. The probability of hitting the orange sector is 4/10. If the only sector that remains is the black sector, what is the probability that the pointer will stop on the black sector?(reduce your answer!)
P=135/360=3/8
500
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. What is the probability of choosing a blue marble followed by a green marble? (reduce your answer!)
P=4/16x7/15=28/240=7/60
500
A jury must be formed to contain 3 men and 2 women chosen from 4 men and 4 women. How many juries are possible?