probability

A bag contains 6 red balls and 7 green balls. You plan to select 4 balls at random. Determine the probability of selecting 4 green balls. Assuming draw without replacement of the balls, we have: Selection 1: 7 green out of 13 balls Selection 2: 6 green out of 12 balls Selection 3: 5 green out...

Four coins are flipped. What is the probability of the coins all landing on heads The probability of one head is 1/2. Since all 4 flips are independent, we multiply each flip probability: P(HHHH) = 1/2 * 1/2 * 1/2 * 1/2 P(HHHH) = 1/16

A box contains 4 red jellies, 6 blue jellies and 5 yellow jellies. What is the probability that a jelly chosen randomly from the box is not red? Calculate Total Jellies: Total Jellies = Red Jellies + Blue Jellies + Yellow Jellies Total Jellies = 4 + 6 + 5 Total Jellies = 15 Not choosing a red...

2 fair sided die are rolled. How many ways can the dice be rolled to sum exactly 6? Using our 2 dice calculator, we get the following options: 2,4 3,3 4,2 1,5 5,1 The probability of rolling a sum of 6 is 5/36

A spinner has 10 equally sized sections, 2 are gray 8 are blue. The spinner is spun twice. What is the probability that the first spin lands on blue and the second lands on gray? P(blue) = Blue sections / Total Sections P(blue) = 8/10 Reducing this using our simplified fraction calculator, we...

A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 3 and the coin toss is heads? Write your answer as a fraction in simplest form Let's review the vitals of this question: The probability of heads...

a card is drawn at random from a standard 52 card deck. find the probability that the card is not a king. There are 4 kings in a standard 52 card deck. To not get a king, we'd have 52 - 4 = 48 possible cards. The probability of not drawing a King is 48/52. But we can simplify this. So we type...

6 sided die probability to roll a odd number or a number less than 6 First, we'll find the set of rolling an odd number. From this dice calculator, we get: Odd = {1, 3, 5} Next, we'll find the set of rolling less than a 6. From this dice calculator, we get: Less than a 6 = {1, 2, 3, 4, 5} The...

2 coins are tossed. Find the probability of getting 1 head and 1 tail We can either flip HT or TH. Let's review probabilities: HT = 1/2 * 1/2 = 1/4 <-- We multiply since each event is independent TH = 1/2 * 1/2 = 1/4 <-- We multiply since each event is independent P(1 H, 1 T) = P(HT) + P(TH)...

Let A and B be independent events with P(A) = 0.52 and P(B) = 0.62. a. Calculate P(A ∩ B). With independent events, the intersection probability is found by: P(A ∩ B) = P(A) * P(B) P(A ∩ B) = 0.52 * 0.62 P(A ∩ B) = 0.3224

find the probability of drawing a 4 or an ace. In a 52 card deck, there are 4 (4's) and 4 (Aces), for a total of 8 cards: The probability is 8 cards / 52 total cards: 8/52 using our simplify fractions calculator = 2/13

you draw a card at random from a deck that contains 3 black cards and 7 red cards what is the probability of you drawing a black card Total cards = 3 black + 7 red Total cards = 10 P(Black) = Black cards / Total Cards P(Black) = 3/10 or 0.3

What is the probability of picking a P from the word hippopotamus? There are 3 P's in a word with 12 characters. So our probability is 3/12. Using our fraction simplify calculator, this simplifies to 1/4. Written as a decimal, it's 0.25. So our answer is 1/4 or 0.25

For a population with μ = 60 and σ = 12, what is the z-score that corresponds to a score of 66? Using our z-score calculator, we get a probability: 0.691462

There are 5 orange books, 12 black books, and 8 tan books on Mr. Johnsons bookshelf. Calculate the probability of randomly selecting a black book and then a tan book without replacement. Write your answer as a percent. P(black book first draw) P(black book first draw) = 12 black / (5 orange +...

There is a bag filled with 3 blue, 4 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting exactly 1 green? Calculate Total marbles Total marbles = Blue + Red +...

In a factory that manufactures tires, a machine responsible for molding the tire has a failure rate of 0.2%. If 1,000 tires are produced in a day, of which 6 are faulty, what is the difference between the experimental probability and the theoretical probability? Theoretical probability =...

Taylor is playing a game using a die and a spinner. The spinner is divided into 4 equal parts with colors green, red, yellow, and purple. Taylor rolls the die and spins the spinner. What is the probability the die shows a 2 and the spinner lands on purple? Probability of rolling a 2 on the die...

In a paper bag, 7 of the 15 marbles are yellow. In a cloth bag, 2 of the 15 marbles are yellow. If Tim randomly draws one marble from each bag, what is the probability that they are both yellow? Bag 1 probability of drawing yellow is 7/15 Bag 2 probability of drawing yellow is 2/15 Since...

A bag contains 7 red, 9 white, and 4 blue marbles. Find the probability of picking 3 blue marbles if each marble is NOT returned to the bag before the next marble is picked. The problem states we will have no replacement. First draw probability is 4 blue marbles out of (7 red + 9 white + 4...