probability

A fuel injection system is designed to last 18 years, with a standard deviation of 1.4 years. What is the probability that a fuel injection system will last less than 15 years? Using our z-score calculator, we see that: P(X < 15) = 0.416834

A single card is drawn from a standard 52 card deck. What is the possibility that the card drawn is either a 4 or a 6 There are 4 (4's) and 4 (6's) in a standard 52 card deck. P(4 or 6) = P(4) + P(6) P(4 or 6) = 4/52 + 4/52 P(4 or 6) = 8/52 We can simplify this fraction by typing it in our...

Each of letters in the word PROPER are on separate cards, face down on the table. If you pick a card at random, what is the probability that its letter will be P or R? PROPER has 6 letters in it. It has 2 P's and 2 R's. So we have: Pr(P or R) = Pr(P) + Pr(R) Pr(P or R) = 2/6 + 2/6 Pr(P or R) =...

Each of the letters in the word PLOTTING are on separate cards, face down on the table. If you pick a card at random, what is the probability that its letter will be T or G? PLOTTING has to 8 letters. It has 2 T'sand 1 G, so we have: P(T or G) = P(T) + P(G) P(T or G) = 2/8 + 1/8 P(T or G) = 3/8

Jennifer is playing cards with her bestie when she draws a card from a pack of 25 cards numbered from 1 to 25. What is the probability of drawing a number that is square? The squares from 1 - 25 less than or equal to 25 are as follows: 1^2 = 1 2^2 = 4 3^2 = 9 4^2 = 16 5^2 = 25 So the...

7 black shirts 5 white shirts 10 gray shirts one is chosen at random, what is the probability that it is not gray Find the total shirts: Total shirts = Black Shirts + White Shirts + Gray Shirts Total shirts = 7 + 5 + 10 Total shirts = 22 Calculate the probability of choosing a gray shirt...

A bag contains tiles, 3 tiles are red. 6 tiles are green, and 3 tiles are blue. A tile will be randomly selected from the bag . What is the probability that the tile selected will be green P(green) = Number of green tiles / Total Tiles P(green) = 6 / (3 + 6 + 3) P(green) = 6 / 12 We can...

A card is drawn from a pack of 52 cards. The probability that the card drawn is a red card is The deck is split evenly between red and black cards. So we have 52/2 = 26 red cards P(Red) = # of Red Cards / Total Deck Cards P(Red) = 26/52 We can simplify this fraction. Using our fraction...

A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles. You select one marble at random from the bag. What is P(blue) P(blue) = Number of blue marbles / Total Marbles P(blue) = 5 / (5 + 6 + 4) P(blue) = 5/15 We can reduce this. So we type in 5/15 into our search engine, choose...

20% of Kay’s pencils in her pencil case are broken. What is the chance of taking a pencil that is not broken from the case if she picks one at random? This means 100% - 20% = 80% of pencils are not broken So the probability of drawing a pencil which is not broken is 80%

If two standard dice are rolled, what is the probability that the sum is 3? Using our 2 dice calculator, we get: 1/18

In the wild, monkeys eat an average of 28 bananas a day with a standard deviation of 2 bananas. One monkey eats only 21 bananas. What is the z-score for this monkey? Is the number of bananas the monkey eats unusually low? Using our z-score calculator, we get: Z < -3.5 P(Z < -3.5) = 0.499767...

A bag contains 2 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of choosing a blue marble, replacing it, drawing a green marble, replacing it, and then drawing a red marble? Calculate total marbles in the bag: Total marbles in the bag = Red Marbles + Blue Marbles +...

A golf ball is selected at random from a golf bag. If the golf bag contains 5 type A balls, 4 type B balls, and 9 type C balls, find the probability that the golf ball is not a type A ball Not Type A means Type B or Type C. Our total balls = 5 + 4 + 9 = 18 P(B or C) = P(B) + P(C) P(B or C) =...

How many possible outcomes of rolling 4 dice Each die has 6 faces, so we have: 6 * 6 * 6 * 6 = 1,296 possible outcomes

Probability of getting 4 or 6 when rolling a dice P(4 or 6) = P(4) + P(6) P(4 or 6) = 1/6 + 1/6 P(4 or 6) = 2/6 We can simplify this. We type this fraction into our search engine, choose simplify, and we get: P(4 or 6) = 1/3

A drawer is filled with 9 black shirts , 6 white shirts, and 5 gray shirts one shirt is chosen at random from the drawer find the probability that it is not a white shirt P(Not White) = P(Black or Gray) P(Black or Gray) = (Total Black + Total Gray)/Total Shirts P(Black or Gray) = (9 + 5)/(9 + 6...

A card is picked from a deck of 52 cards. Find the probability of getting a black ace or a red queen. In a standard deck of 52 cards, we have: 2 black Aces with probability 2/52 = 1/26 using our fraction simplifier 2 red Queens with probability 2/52 = 1/26 using our fraction simplifier The...

if flip a coin 4 times, what is the probability of getting all 4 tails. P(Tails) = 1/2 Each flip is independent, so we have: P(TTTT) = 1/16

A lottery uses a container with 25 identical balls numbered 1 through 25, from which three balls are selected. What is the theoretical probability that the number 13 is picked first? P(1st ball being 13) = 1 /25