Simple Probability
probability of getting an even number when rolling one die
0.5
Given A={1,2,5,7} and B={1,3,5,9}, find A intersect B.
{1,5}
How do you write: The probability of A given B
Pr(A | B)
What does it mean if two events are independent
If the outcome of one event does not effect the likelihood of the other occurring
Emma has 14 dogs. 3 have long hair and do NOT have brown hair. 6 are brown and do NOT have long hair. Two are brown and have long hair. How many dogs are neither brown nor have long hair.
3
Given A={1,2,5,7} and B={3,5,7,11}, find AUB
{1,2,3,5,7,11}
If there are 12 players in a soccer team, and 5 of them also play basketball, what is the probability of someone playing basketball given they play soccer?
5/12
For staged experiments with replacement, are successive events independent or dependent
Independent
A platform diving squad of 25 has 18 members who dive from 10m and 17 who dive from 5m. How many dive from both platforms? Assume all members dive from at least one of the platforms.
10 members
Find Pr(not a king) when pulling a card out of a deck
12/13 or 48/52
Which outcomes need to be removed from A to make A and B mutually exclusive?
A = {2, 4, 6, 8, 10, 12, 14, 16}, B = {3, 6, 9, 12, 15}
6 and 12
What is the formula for Pr(B|A)
Pr(B|A)= Pr(A∩B)/Pr(A)
What will Pr(A|B) equal if A and B are independent?
Pr(A)
During a 2-week period, Murielle took her umbrella on 8 days. It rained on 9 days, and Murielle took her umbrella on five of the days it rained. Find the number of days that Murielle did not take her umbrella and it rained.
4.
Pr(heart or king) when pulling a card out of a standard deck
4/13 or 16/52
Find A={1,3,7}, B={3,11}, C={0,1,5}. Find A∩B∩C
{} (The null set)
15 people are surveyed. 10 like apples (A), 5 like banannas (B) and 3 like both.
Find Pr(B|A)
3/10
Of 17 Accountants, 15 give advice on tax (T), 10 offer advice on Business (B) and 8 offer advice on both.
Are T and B independent?
No
In a factory, 56 people work on the assembly line. 47 work day shifts and 29 work night shifts. How many people work both day and night shifts.
20
Pr(neither a club or an ace)
9/13 or 36/52
True or false, the intersection of two mutually exclusive sets is the universal set.
False - the intersection is the null set
15 people are surveyed. 10 like apples (A), 5 like bananas (B) and 3 like both.
Find Pr(B|A')
2/5
A fair coin is tossed 5 times, find the probability of obtaining 5 heads.
3.125% or 1/32
In a car club 13 members drive a manual, 15 drive a car with a sunroof, and 5 have manual cars with a sunroof, and 4 have neither. Find the number of members in the club.
27.