# Probability + multiplication principle - 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: 39

• 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.
• The box The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What is the probability that we will take out one chocolate, one fruit, and one menthol candy without a return? How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
• Gold, silver, bronze How many ways can we divide gold, silver, bronze medails if there are 6 people competing?
• The test The test contains four questions, and there are five different answers to each of them, of which only one is correct, the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answer
• Fall sum or same Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice.
• Birth Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that in a family with five children, the youngest and oldest child is a boy?
• Dice and coin A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is head?
• One three We throw two dice. What is the probability that max one three falls?
• Telephone numbers How many 7-digit telephone numbers can we put together so that each number consists of different digits?
• A jackpot How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i. E. , home win or away win.
• Classroom Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
• Boys and girls There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?
• Families 2 There are 729 families having 6 children each. The probability of a girl is 1/3 and the probability of a boy is 2/3. Find the the number of families having 2 girls and 4 boys.
• Boys and girls There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
• A book A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
• Peaches There are 20 peaches in the pocket. 3 peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten?
• Dice We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
• Dice We throw five times the dice. What is the probability that six fits exactly twice?
• Six on dice What is the probability that when throwing two dice will fall at least one six?

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