Probability Fundamentals; Probability Distributions
A table or bar graph representing the probability of all possible events from an action/experiment.
What is a probability distribution?
The odds for rolling two fair dice and getting a double 6.
What is 1 to 35?
The probability of tossing a fair coin four times in a row and getting HTHT, in that order.
What is 1/16 ?
The probability of at least one device being defective out of a sample of 100 when the defective rate at the factory is 2%.
What is 1-(0.98)^(100)=0.8674 ?
The formula for expected value, using V(A) as the value.
What is E=V(A)P(A)+V(B)P(B)+...+V(N)P(N) ?
The total number of outcomes when flipping a coin three times.
What is 8?
(HHH, HHT, HTH, THH, HTT, THT, TTH, TTT)
The probability that a 69% free-throw shooter will miss his next shot.
What is 31%?
The probability of rolling a fair die three times and getting, in this order, the numbers 2, 4, 6.
What is 1/216 ?
The probability of flipping a fair coin four (4) times and it landing on either no tails or exactly one tail.
What is 5/16 ?
The expected value of guests at an event where 9,000 are believed to show with poor weather conditions and 15,000 are believed to show with good weather conditions, and the probability of poor weather is 0.35.
What is 12,900?
The probability of randomly selecting a three-child family with three girls.
What is 1/8 ?
The odds against randomly drawing a heart from a standard deck of cards.
What is 3 to 1?
The probability of rolling two fair dice and the sum being greater than 9.
What is 1/6 ?
The probability of at least one person testing positive for COVID from a hospital at their 200 person capacity, when the probability for testing positive for COVID is 1 in 1000.
What is 1-(999/1000)^200=0.1814 ?
The expected value of gains/losses if a company invests in a specific project at $30,000, with a 45% chance of the investment falling through, a 20% chance of the investment breaking even and a 35% chance of the investment doubling.
What is -$3,000?
The probability of drawing an even-numbered card (2, 4, 6, 8, 10) from a standard deck.
What is 5/13 ?
The formula for 'odds against', using probability functions (i.e., P(A), P(words), etc.).
What is (P(A'))/(P(A)) ?
The probability of a plane engine failing and the plane crashing when the probability of a plane engine failing is 0.02 and the probability of a plane crashing is 0.001 as separate events.
What is 0.00002?
The probability of the sum being a multiple of 3 or a multiple of 4 when rolling two fair dice.
What is 5/9 ?
The expected value of hot dog toppings sold, when a vendor knows the probability of selling a plain dog is 20%, the probability of selling a single-topping dog is 0.35, the probability of selling a two-topping dog is 4/10 , and the probability of selling an unlimited topping dog is 1/20 .
What is 1.3 hot dog toppings?
The probability of correctly guessing a stranger's birth date knowing only that she was born on an odd-numbered day of June (June has 30 total days).
What is 1/15 ?
The probability of not being dealt a pair of (exactly two) aces from the first two draws of a fair deck.
What is 220/221 ?
What is 100/256=0.3906 ?
The probability of a single card drawn from a standard deck being either a spade or not a face card.
What is 43/52 ?
What is -1/15 ?