Sets + multiplication principle - practice problems
Number of problems found: 29
- Two-digit 26211
Writes all two-digit numbers using the numbers 4 and 7 - Face combinations
If I have 20 sets of eyes, 20 noses, and 20 months, how many unique face combinations can I make? - The box
The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What probability will we take out one chocolate, one fruit, and one menthol candy without a return? - Round destiny
There are five white and ten red balls in the destiny. Four balls will be drawn at random. What is the probability of the event "at least two spheres are white"? - 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. - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once - Probability 71174
Find the probability that one will fall at least once in three rolls. - Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - And or logic
If A and B are events with P(A)=0.3, P(A OR B)=0.76, and P(A AND B)=0.04, find P(B). Enter your answer in decimal form, rounded to one place. - Hazard game
In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess five numbers correctly) b) the third prize (we guess four numbers correctly)? - Scrap
From 19 products are 4 scraps. What is the probability that the random pick of 2 products has no defective product? - Probability 81591
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) both are defective? Ii) Is the second item defective? - Probability 8445
A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4 What is the likelihood that: a) - a goal is scored during the execution of one kick b) - that a goal is not scored - Probability 80785
We roll the dice and then toss the coin as many times as the number that came up on the dice. What is the probability that the coin lands head at least once? - Raffle
There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least four winnings for a group of people who have bought five tickets together? - Pairs
Teachers must choose one pair of boys and girls from the five girls and four boys. A) How many such pairs of (M + F)? B) How many pairs were only boys (M + M)? C) How many are all possible pairs? - Probability 68584
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them? - Distinguish 71184
We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that: a) the youngest girl will be among the children b) all children will be of the same sex - An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is indepe
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