combination
permutation
independent/ dependent events
conditional probability
100
what is the formula for combinations
n C r = n! / [ (n - r)! r! ]
100
whats the formula for permutations
n P r = n! / (n - r)!
100
A bag of marbles contains five red marbles, five blue marbles, and five white marbles. You randomly take three marbles out of the bag. The first marble is red, the second is blue, and the third is white.Is this a dependent or independent event?
Dependent
100
P(sports | female)
11.7%
200
list all the possible combinations A, B, C, D, taken two at a time
AB,AC,AD,BC,BD,CD
200
list all the possible permutations of 1,2,3
123 132 213 231 312 321
200
P(A) = 9/20 P(B) = 1/2 P(A|B) = 27/50 Are event A and B independent or dependent?
dependent
200
P(female | sports)
36.8%
300
11C8
168
300
4 P 2
4! / (4 - 2)! = 24/2 = 12
300
P(A) = 3/10 P(not B) = 3/4 P(A and B) = 3/40 Are event A and B independent or dependent?
independent
300
P(reading | male)
21%
400
18C11 + 1
31,825
400
4 P 4
4! / (4 - 4)! = 4! / 0! = 4! = 4*3*2*1 = 24
400
P(A) = 1/4 P(B) = 3/5 P(B|A) = ? Given that A and B are independent find P(B|A)
3/5
400
P(male | reading)
47.2%
500
A committee including 3 boys and 4 girls is to be formed from a group of 10 boys and 12 girls. How many different committee can be formed from the group?
10 C 3 * 12 c 4 = 59,400
500
How many 3 letter words can we make with the letters in the word BLUE?
4 P 3 = 4! / (4 - 3)! = 24
500
P(A) = 7/10 P(A or B) = 173/200 P(B) = ? Given that A and B are independent find B
11/20
500
P(hiking | male)
16%
M
e
n
u