Percentages + probability - practice problems - page 3 of 6
Number of problems found: 114
- Probability 41211
We have five red and seven white balls in a hat. What is the probability of pulling: a) a red ball? b) a white ball? - Year-on-year 39353
The company's turnover for the period 2011-2013 increased by 3.7%. From 2013 to 2019, an average year-on-year decrease in turnover of 5% was recorded. What is the total relative change in turnover from 2013 to 2019? - Covid-19
Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents were infected. - Doctors
The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20.
- Wimbledon finals
Serena Williams made a successful first serve 67% 0f the time in a Wimbledon finals match against her sister Venus. If she continues to serve at the same rate the next time they play and serves six times in the first game, determine the probability that: - Three colors
Find the probability that three balls of the same color will be drawn from fate with ten white, ten red, and ten blue balls. - Ace or king
What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards? - Probability 30271
The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%? - 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)?
- Manufacturer 24801
With a repeat check, five hundred of the series of products are to be inspected. The manufacturer guarantees 2% scrap for a given production. Determine the probability of scraps among the 500 products reviewed between 12 and 20. - Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%? - All use computer
It is reported that 72% of working women use computers at work. Choose three women at random, and find the probability that all three women use a computer in their jobs. - The manufacturer
The manufacturer found that 3% of the plates produced had a malfunction. Of the complaint, 75% are first and 25% second. What is the probability of producing first and second-class plates? - Probability
How probable is a randomly selected three-digit number divisible by five or seven?
- The test
The test contains four questions, with five different answers to each of them, of which only one is correct, and the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answers to - Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%? - Correctly 20713
Out of 30 tasks, Peter solved 24 correctly. Find success rate in percent. - Corona again
The population on long island is 7.75 million, and the coronavirus has affected 22,178. What percent of the population is affected? (looking for one case per n people) - Non-conforming 19863
The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming
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