Probability + percentages - math problems

Number of problems found: 51

Events
Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.
Event probability
The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (chance is the same)?
Shooter
The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit intercircle is II 0.58. What is the probability that it hits the target circle I or II?
Bulbs
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?
Two doctors
Doctor A will determine the correct diagnosis with a probability of 93% and doctor B with a probability of 79%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
Probability
$fractions_1$ How probable is a randomly selected three-digit number divisible by five or seven?
Doctors
The drug successfully treats 90% of cases. Calculate the probability that he will cure at least 18 patients out of 20?
Family
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%.
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)?
Ace or king
What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards?
Sum 10
What is the probability that two dice throw twice in a row will result the sum of 10?
Family
94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
Three reds
What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
Win in raffle
The raffle tickets were sold 200, 5 of which were winning. What is the probability that Peter, who bought one ticket will win?
Three colors
Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.
Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number?
Three dice
What is the probability that when we roll three dice, we roll the numbers 1,2,3?
Ace
From complete sets of playing cards (32 cards), we pulled out one card. What is the probability of pulling the ace?
Medicine
We test medicine on 6 patients. For all drug doesn't work. If the drug success rate of 20%, what is the probability that medicine does not work?
Two aces
From a 32 card box we randomly pick 1 card and then 2 more cards. What is the probability that last two drawn cards are aces?