MATH - Probability & Statistics

A bag contains 3 red, 6 blue, 5 purple and 2 orange marbles. One marble is selected at random. What is the probability that the marble is blue?

A coin is thrown inside a 1 inch by 1 inch square on a horizontal table and win if it exactly inside the square and lose if the coin cross the side of the square. What is the probability of losing?

Each of the question on a quiz is a five-part multiple choice question with exactly one correct answer. A student totally unprepared for the quiz, guesses on each 15 questions. How many questions should the student expect to answer correctly?

Jenny flipped a coin three times and got heads each time. What is the probability that she gets heads on the fourth flip?

A point is chosen at random inside a circle having a diameter of 8 inches. What is the probability that the point is at least 1.5 in away from the center of the circle?

Donations were made by alumni for a school to fund a new computer room. Data shows that 80% of alumni give at least P50. If the administration contacts 20 alumni, what is the probability that less than 17 of them will give at least P50.

The probability of defect on a collection of bolts is 5%. If a man picks 2 bolts, what is the probability that he does not pick 2 defective bolts?

A political analyst asked a group of people how they felt about two political policy statements. Each person was to respond A (agree), N (neural) and D (disagree) to each NN, ND, DA, AN,..., DD. Assuming each response combination is equally likely, what is the probability that the person being interviewed agrees with exactly one of the two political policy statements?

A student did not study for his upcoming examination which is 15 multiple choice questions with five choices of which only one is correct. What is the expected correct answers he can get?

One fair die is used in a dice game. The player wins $10 if he rolls either 1 or 6. He loss $5 if he turns up any other face. What is the expected winning for one roll of a die?

How many tosses will be needed for a coin to get 7 heads?

In how many ways can a poker hand with 5 cards be selected from a standard deck of cards.

A coin is tossed 3x and obtained all head. What is the probability that it will be head on the 4th toss.

Find the probability of getting a spade and a face card, (Jack, Queen and King) in an ordinary deck of 52 cards.

A’s probability of hitting a target is 1/3 while B has a probability of 1/5 of hitting the same target. What is the probability that they both hit the target?