Easy
7!
5040
According to a Harris poll, 14% of adult Americans have one or more tattoos, 50% have pierced ears, and 65% of those with one or more tattoos also have pierced ears. What is the probability that a randomly selected adult American has one or more tattoos and pierced ears?
(0.14)(0.65)=0.091
. The hazel wood city council consists of 5 men and 4 women. How many different subcommittees can be formed that consists of 3 men and 2 women?
5C3 X 4C2 =60
How many different simple random samples of size 4 can be obtained from a population whose size is 20?
20C4= 4845
What is the difference between a permutation and a combination?
Combo-order is not important
Permutation-order is important
10C3
120
. On February 20, 2011, Daytona international speedway hosted the 53rd running of the Daytona 500, touted by many to be the most anticipated event in racing history With 42 drivers in the race. In how many different ways could the top four finishers (1st, 2nd, 3rd and 4th place) occur?
43P4=2,961,840
You are invited to a engagement party, and you only represent your name by either, three or four letters (repetition is not allowed). What is the maximum number of names.
374400 max number of names
Find the number or rearrangements of the letters in the word CARRIER.
7! /3! =840
In probability, what is the meaning of two events being disjoint?
Don't share common outcomes
Which among the following numbers could be the probability of an event
0, -0.01, 0.75 0.41, 1.34
0, 0.75, 0.41
In the game or roulette, the wheel has slots numbered 0,00, and 1 through 36. A metal ball rolls around a wheel until it falls into one of the numbered slots. What is the probability that the ball will land in the slot numbered 17 two times in a row.
1/38 X 1/38 =0.000692521
The grade appeal process at a university requires that a jury be structured by selecting five individuals randomly from a pool of seven students and ten faculty.
What is the probability of selecting a jury of all students?
21/6188 = 0.00339
6! (2!) / 4!
60
S= (red, green, blue, orange, yellow). Suppose that the outcomes are equally likely
Compute the probability of the event
E= yellow
F= green or orange
P(E)= 1/5
P(F)= 2/5
Suppose that a single card is selected from a standard 52-card deck. Compute the probability of drawing a king or drawing a queen or drawing a jack.
3/13=0.2307
If P(E)=0.25 and P(F)=0.45
Find P(E or F) if P(E and F) = 0.15
0.55
A six-sided die is tossed. What is the probability that it shows 2 if you know it shows a number less than 5.
1/4=0.25
A box contains three blue marbles, five red marbles, and four white marbles. If one marble is drawn at random find the probability that the marble is blue, given it’s not white.
3/8=0.375
using the sample space (5,6,7,8,9,10,11,12,13,14,15), find the probability that the randomly selected number is greater than 9, given less than 14.
4/9=0.4444