Probability
What is the probability of getting a spade in a standard deck of card?
1/4
A six-sided dice is rolled, a card is drawn from a standard deck of cards, a day of the week is selected, and a month is picked. How many different results are there?
26,208
A box contains 5 red marbles and 3 blue marbles. If two marbles are drawn one after the other without replacement, what is the probability that both marbles drawn are red?
5/8 x 4/7 = 20/56 or 5/14
In a bag, there are 5 red marbles, 4 blue marbles, and 3 green marbles. If you randomly select 4 marbles from the bag without replacement, what is the probability of selecting 2 red marbles, 1 blue marble, and 1 green marble?
8/33
What is the probability of flipping a fair coin three times and getting exactly two heads?
3/8 (HHT,THH,HTH)
If a bag contains 3 red, 1 blue, 4 black and 2 green balls. What is the probability that she picks a black ball.
2/5 or 40%
In a deck of 52 cards, what is the probability of drawing either a heart or a king?
13/52 + 4/52 - 1/52 = 16/52 or 4/13
here are 5 new disney live-action remakes. The probability that they will be mind numbingly bad is 89%. What’s the probability that less than 3 are genuinely enjoyable?
0.99
During a quality control inspection, 1,200 products were tested, and 45 were found to be defective.
If the company manufactures 15,000 products, how many would you expect to be defective based on the empirical probability?
(3.75% x 15,000) = 563 products
Marlena must answer 3 out 8 essay questions on her writing quiz. How many ways can she choose three?
56 or 8C3
In a classroom of 30 students, 18 students play soccer, 15 students play basketball, and 10 students play both soccer and basketball. What is the probability that a randomly chosen student plays either soccer or basketball?
18/30 + 15/30 - 10/30 = 23/30
BONUS
CONGRATULATIONS!
In a game, two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is at least 9?
5/18
A team’s jerseys are numbered 1-100. Your lucky number is 13. What is the probability of you getting a jersey that is NOT a multiple of 13?
93/100
An urn contains 4 white balls and 6 black balls. Two balls are drawn one after the other with replacement. What is the probability that the first ball is white and the second ball is black?
Tom is trying to catch Jerry using a mouse trap. Jerry is good at avoiding them, so the chances of him being caught are 0.001. Tom tried to use this trap everyday for a week. What are the chances that Jerry doesn’t get caught at all during the week?
0.99
In a game, two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled at least 4?
1 - (p(2)1/36 + p(3)2/36) = 1 - 3/36 = 33/36 or 11/12
n a game show, there are 10 colored balls in a bag: 3 red, 4 blue, and 3 green. If 5 balls are randomly drawn from the bag without replacement, what is the probability that:
At least 1 ball of each color is chosen.
1/12(probability of not choosing red)
1/42 (probability of not choosing blue)
1/12 (probability of not choosing green)
= 4/21
1 - 4/21 = 17/21
In a deck of 52 cards, what is the probability of drawing either a red card or a face card?
26/52 + 12/52 - 6/52 = 32/52 or 8/13
You’re playing Russian Roulette with 1 covid shot and 5 shots of poison. If the shots are refilled after every round, and there are 10 rounds, what’s the probability of getting the covid shot 4 or more times?
0.07