Probability + combinatorial number - math problems
Number of problems found: 47
- Probability of failures
In certain productions, the probability of failures is 0.01. Calculate the probability that there will be more than 1 failure among the 100 selected products if we return the selected products to the file after the check.
We throw five times the dice. What is the probability that six fits exactly twice?
We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of eight bulbs can operate 4000 hours?
- Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient tested positive for malaria is 0.6. What is the probability that two patients selected at random (i) one is negative while the other tested positive? (i) both patient
From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
- travel agency
Small travel agency offers 5 different tours at honeymoon. What is the probability that the bride and groom choose the same tour (they choose independently)?
- Sum or product
What is the probability that two dice fall will have the sum 7 or product 12?
- One green
In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
- Three students
Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability 0.04. The problem is resolve
- Three reds
What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
The urn is 8 white and 6 black balls. We pull 4 randomly balls. What is the probability that among them will be two white?
Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors?
What is the probability that a family with 7 childrens have: exactly 5 girls? 7 girls and 0 boys? Consider the birth probability of a girl is 48.69% and boy 51.31%.
The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate?
- Playing cards
From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
- Families 2
Seven hundred twenty-nine families are having six children each. The probability of a girl is 1/3, and the probability of a boy is 2/3. Find the number of families having two girls and four boys.
See also our combinations calculator. Probability - math word problems. Combinatorial number - math word problems.