Modern Math
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Q. A bag contains 4 white and 6 black balls. If two balls are drawn at random, what is the probability that both are black?
Q. A bag contains 5 red balls and 3 blue balls. If one ball is drawn at random, what is the probability that it is blue?
Q. A bag contains 5 red, 3 blue, and 2 green balls. If one ball is drawn at random, what is the probability that it is not blue?
Q. A box contains 3 red balls and 2 blue balls. In how many ways can 2 balls be selected from the box?
Q. A box contains 3 red, 2 blue, and 5 green balls. If one ball is drawn at random, what is the probability that it is either red or blue?
Q. A box contains 4 white and 6 black balls. If two balls are drawn at random, what is the probability that both are white?
Q. A card is drawn from a standard deck of 52 cards. What is the probability that it is a heart or a queen?
Q. A card is drawn from a standard deck of 52 cards. What is the probability that the card is a heart or a queen?
Q. A group of friends consists of 10 people. If 6 like football, 4 like basketball, and 2 like both, how many like neither sport?
Q. A group of friends consists of 12 people who like either football or basketball. If 7 like football and 5 like both, how many like only basketball?
Q. A group of friends consists of 12 people who like either football or basketball. If 7 like football and 5 like basketball, how many like both?
Q. A group of friends consists of 12 people who play football, 8 who play basketball, and 5 who play both. How many play only football?
Q. A group of friends consists of 12 who play football, 8 who play basketball, and 5 who play both. How many play only football?
Q. A group of friends consists of 5 people who like football, 3 who like basketball, and 2 who like both. How many like only football? (2023)
Q. A group of friends consists of 5 people who play football, 4 who play basketball, and 2 who play both. How many friends play only one sport?
Q. A group of friends consists of 5 who like football, 4 who like basketball, and 2 who like both. How many friends like only football?
Q. A password consists of 3 letters followed by 2 digits. How many different passwords can be formed if letters can be repeated but digits cannot? (2000)
Q. A student has a 70% chance of passing an exam. If he takes the exam twice, what is the probability that he passes at least once?
Q. A survey shows that 70% of people like dogs, 50% like cats, and 20% like both. What percentage of people like either dogs or cats?
Q. From a group of 8 people, how many ways can a team of 4 be selected?
Q. How many different ways can 3 men and 2 women be seated in a row?
Q. How many different ways can the letters of the word 'SCHOOL' be arranged?
Q. How many ways can 5 different colored balls be placed in 3 different boxes if each box can hold any number of balls?
Q. How many ways can 5 students be seated in a row of 5 chairs?
Q. How many ways can the letters of the word 'LEVEL' be arranged?
Q. If 15 students like both History and Geography, 25 like History, and 20 like Geography, how many students like only Geography?
Q. If 25% of a group like tea, 15% like coffee, and 5% like both, what percentage like either tea or coffee?
Q. If 25% of a group like tea, 35% like coffee, and 10% like both, what percentage like only tea?
Q. If 25% of a group of 200 people like sports, 15% like music, and 5% like both, what percentage of people like only sports?
Q. If 25% of a group of 200 people like tea, 15% like coffee, and 5% like both, what percentage like only tea?
