Probability + percentages - math problems

Probability is the measure of the likeliness that an event will occur. The probability (chance) is a value from the interval <0;1> or in percentage (0% to 100%) expressing the occurrence of some event. 0 is impossible event and 1 (100%) means the certainty event.

Number of problems found: 50

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)?
Events
Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.
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?
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.
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?
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%.
Probability - tickets
What is the probability when you have 25 tickets in 5000 that you not wins the first (one) prize?
Probability
$fractions_1$ How probable is a randomly selected three-digit number divisible by five or seven?
Utopia Island
A probability of disease A on the island of Utopia is 40%. A probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women on Ut
Three dice
What is the probability that when we roll three dice, we roll the numbers 1,2,3?
Ace or king
What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards?
Three reds
What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
Sum 10
What is the probability that two dice throw twice in a row will result the sum of 10?
Dices
We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
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.
Family
94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
Ace
From complete sets of playing cards (32 cards), we pulled out one card. What is the probability of pulling the ace?
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?
Throw
We throw 2 times with 2 dices. What is the probability that the first roll will fall more than sum of 9 and the second throw have sum 3 or does not have the sum 4?