Probability - math word problems - last page

Number of problems found: 536

Sales
From statistics of sales goods, item A buys 77% of people, and item B buys 58% of people. What is the probability that from 15 people buy 8 item A and 7 item B?
TV fail
On average, a television set experiences 25 failures per 10,000 hours of use. Find the probability of a failure occurring within 400 hours of operation.
Pediatrician
Pediatrician, this month of 20 working days takes 4 days holidays. What is the probability that it will be at work on Monday?
Rectangle
In a rectangle with sides 8 and 9, a diagonal is drawn. What is the probability that a randomly selected point inside the rectangle is closer to the diagonal than to any side of the rectangle?
Raffle
In the pool number from 1 to 109. What is the probability that a randomly selected number is not prime?
Word
What is the probability that a random word composed of chars S, G, R, S, E, I, N, A, L, P, C, T, M, H, E, E will be the SPHERICALSEGMENT?
Bulbs
A box contains 16 bulbs of 75 W, 14 bulbs of 40 W, and 10 bulbs of 50 W. Calculate the probability that a randomly selected bulb is: a) 40 W b) 75 W or 40 W
Shooters
In a regiment there are piati shooters. The first shooter hits the target with a probability of 42%, and the next with 40%, 21%, 58%, 67%%. Calculate the probability that the target is hit when all shooters fire simultaneously.
Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)?
Shooter
The probability that a skilled shooter hits the centre of target zone I is 0.13. The probability of hitting inner circle II is 0.58. What is the probability that the shooter hits zone I or zone II?
Bulbs
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of the eight bulbs can operate 4000 hours?
Insurance
The house owner is insured against natural disasters and pays 0.05% annually of the value of the house 88 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 50% of the insurance is to pay damages.
Two doctors
Doctor A makes the correct diagnosis with a probability of 89% and Doctor B with a probability of 75%. Calculate the probability of a correct diagnosis if both doctors examine the patient independently.
Lottery
The lottery is 47000 elk, in which 4800 wins. What is the probability that the purchase of 6 elks won nothing?
Dice
How many times must you throw the dice, and was the probability of throwing at least one pětky greater than 70%?
Family
What is the probability that a family with 3 children has: exactly 1 girl? 2 girls and 1 boys? Consider the birth probability of a girl as 48.66% and a boy as 51.34%.

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