Sets + multiplication - practice problems
Number of problems found: 40
- Richard
Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the die will land on an even number? - Library and gym
In a town, 7/8 of the population has a library card, and 3/4 has a gym membership. What fraction of the population has either a library card or a gym membership? - 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. - Three 241
Three-fifths of the t-shirts in a t-shirt shop are blue. Five-eights of those T-shirts are on sale. One-third of the blue of the blue shirts that are on sale are size medium. What fraction of the shop's blue T-shirts are on sale and size medium?
- Exactly 4
Exactly 1/6 of the kids are playing on the playground. Exactly 3/5 of the kids are playing soccer. Jack adds 1/6 + 3/5 to find the total fraction of kids at the park playing on the playground or playing soccer. Is he correct? - Probability 81591
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - 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? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Residents
In a college dormitory, 1/10 of the residents are juniors, and 2/5 of the residents are sophomores. What fraction of the students at the dormitory are juniors and sophomores?
- Senior students
There are 7000 students at mountain high school, and 2/7 of these students are seniors. If 2/5 of the seniors favor the school forming a debate team and 3/8 of the remaining students, not seniors, are also forming a debate team, how many students do not f - 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? - A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors - Two-thirds 73104
The company has 120 employees, two-thirds of whom are women. Of the women, only a quarter speak both English and German. How many women talk in English and German? - Second prize
Jamie and Mark each bought a raffle ticket to win a new laptop or a new cell phone, where only 125 tickets were told. The first ticket holder wins the prize of their choice and is removed from the drawing. The holder of the second ticket drawn wins the re
- 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 - Probability 71174
Find the probability that one will fall at least once in three rolls. - 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? - Face combinations
If I have 20 sets of eyes, 20 noses, and 20 months, how many unique face combinations can I make? - 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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