Probability - practice problems - page 5 of 27
Number of problems found: 536
- Javelin throwers
Javelin throwers Anna and Barbora have average throw lengths of 67 m and 75 m, respectively, and standard deviations of 6 m and 3 m, respectively. Assume that the throw lengths have independent normal distributions. Calculate the probability that Anna thr - Distribution if the IQ
Assume that the IQ in the population follows a normal distribution with a mean of 100 points and a standard deviation of 10 points. With what probability among 15 randomly selected people: a. Is there anyone with an IQ above 130 points? b. Are there at le - Cinema seat probability
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation? - Chip number probability
In an opaque bag are chips with numbers from 1 to 20. What is the probability that we will draw a chip with a number less than 16? - Product good probability
There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good? - Dice sum probability What is the probability that a roll of three dice will result in a number less than 7?
- PIN even probability
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers? - Seed plant probability The probability that a plant will grow from a seed is 75%. What is the probability that 5 plants will grow if we assemble 6 seeds?
- Question knowledge probability
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Chess club probability
The chess club has 5 members, including two girls. The club leader wants to determine by lot which member will represent the club at the representative tournament. What is the probability that a girl will be drawn? - Five-digit digit probability What is the probability that each digit is different in a five-digit number?
- Coin heads probability
What is the probability that heads come up 5 times a row when tossing a coin? Write the result as a fraction. - Lottery ticket probability
In the lottery, where 326 numbers are drawn, Maros marked 7 numbers on the ticket. Kevin marked 11 numbers in another lottery, and 421 numbers were drawn. Which of these friends has a better chance of winning? - PIN code probability Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt.
- Avocado seed probability
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout? - Bread weight rejection
The weight of a loaf of bread should be 900 g. Loaves whose weight differs by more than 30 g from this value must be rejected. Determine the probability that a loaf is rejected if its weight has a normal distribution N(900,40). - Collection of medicinal plants
A pensioners' club organised a collection of medicinal plants. Two pensioners could not participate in the collection for health reasons, the others decided to collect dead-nettle, elder, and coltsfoot. All three herbs were collected by 7 pensioners, dead
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