Permutations and Combinations
Perform the indicated calculation:
11P2
110
Mutually Exclusive or Not:
A: Randomly select a person who loves cats.
B: Randomly select a person who loves dogs.
Not Mutually Exclusive
Independent or Dependent:
Taking a driver's education course and passing the driver's license exam.
Dependent
Find the probability of rolling a number less than 8 on a 12-sided die.
0.583
Perform the indicated calculation:
5C3 ÷ 10C3
0.083
A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the card is red or a queen.
0.538
Independent or Dependent:
Tossing a coin 4 times, getting four heads, and tossing it a fifth time and getting a head.
Independent
Find the probability of selecting a red card from a standard deck of cards.
0.5
Fifteen cyclists enter a race. How many ways can the cyclists finish first, second, and third?
2730
A 12-sided die is rolled. Find the probability that the roll results in an odd number or a number less than 4.
0.583
A coin is tossed and a die is rolled. Find the probability of tossing a head and then rolling a number that is at least a 3.
0.33
A student must choose from 7 classes to take at 8AM, 4 classes to take at 9AM, and 3 classes to take at 10AM. How many ways can the student arrange the schedule?
84
An employer must hire 2 people from a list of 13 applicants. In how many ways can the employer choose to hire the 2 people?
78
A math class has 30 students. Of these, 10 are math majors and and 15 are male. Of the math majors, 8 are male. Find the probability that a randomly selected student is male or a math major.
0.567
Your sock drawer has 18 folded pairs of socks, with 8 pairs of white, 6 pairs of black, and 4 pairs of blue. What is the probability that you will first select and remove a black pair, then select either a blue or white pair?
0.235
You are planning a three-day trip to Seattle in October. Given that it could be raining or sunny on each day, find the probability that it is sunny all 3 days.
0.125
A shipment of 200 calculators contains 3 defective units. What is the probability that a sample of three calculators will have no defective calculators?
0.955
Of the cartons produced by the company, 5% have a puncture, 8% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner.
0.126
A doctor gives a patient a 60% chance of surviving bypass surgery after a heart attack. If the patient survives the surgery, then the patient has a 50% chance that the heart heals. Find the probability that the patient survives surgery and the heart heals.
0.3
Which of the following is NOT a probability?
A) 35%
B) 3/2
C) 0.879
D) 1/6
B) 3/2