A pack of 12 cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?
(1) The pack has 6 more red cards than black cards
(2) The pack has 3 red cards for every black card
Micky and Kevin go to a market to buy fruits. The probability of Micky buying an apple is 0.25 and of Kevin buying an apple is 0.4. Both Micky and Kevin have a 60% chance of eating the fruits they buy. What is the probability that Kevin eats an apple and Micky does not eat an apple?
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What is the probability that when the letters of the word SERENDIPITY are randomly rearranged, the first alphabet of the resulting word is neither T nor E?
In a classroom, 40% of the boys had read a particular book. What was the probability that a student who was randomly selected from the classroom was a girl who had read the book?
(1) Threeeighths of all students in the classroom had read the book
(2) 20 girls in the classroom had not read the book
A playgroup is made up entirely of n pairs of siblings, including the siblings Adam and Josh. 4 members of the playgroup are chosen to represent it in a competition. What is the value of n?
(1) The probability that Adam and Josh are among the 4 members chosen to represent the playgroup is 2/5
(2) The probability that 2 sibling pairs are chosen to represent the playgroup is 1/5
If the probability that Brendon, Daniel and Kane score more than or equal to 700 on the GMAT is 0.4, 0.5 and 0.6 respectively, what is the probability that at least 2 of them score less than 700?
A teacher prepares 20 chits, each chit having a unique integer out of the first 20 positive integers. A student is asked to draw a chit at random. What is the probability that the chit drawn by the student does not have a prime number?
The probability that it rains on a certain day in a week is 0.3. What is the probability that it rains on exactly two days in that week?
Angelo studied the report by an analyst that predicted the probabilities of the returns four stocks may generate in the next one year. Based on the probabilities of the returns, Angelo invested $100 each in four stocks for a year. He plans to sell a stock at the end of the year if the stock is valued at not less than $140. What is the probability that Angelo sells at least 1 of the stocks?
A group of 30 people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen?
(1) The probability that a man is chosen is 50% greater than the probability that a child is chosen.
(2) The probability that either a woman or a child is chosen is greater than the probability that a man is chosen
James, Kara and Smith are three friends who have applied for a job at Company X. Their probabilities of getting selected for interview are 2/5,1/3and4/7 respectively. If Company X offers a job to only 25% of the applicants it interviews, what is the probability that only Kara receives a job offer out of the three friends?
The probability of a manufacturing company producing a defective item is 0.1. If 5 items are drawn at random from a set of 100 distinct items, what is the probability that at least 2 items would be defective?
A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14
. What is the probability that the chosen ball is neither blue nor small?
(1) The probability that the chosen ball is not small is 5/8
(2) The probability that the chosen ball is small but not blue is 9/40
The first name and the last name of 5 people are written in two tables above, in a jumbled order. For example, the last name of John may be Garth. Lisa, who doesn’t know the correct first namelast name pair for any of the 5 people in the table, is asked to create 5 first name – last name pairs using each first name and last name in the tables above only once. What is the probability that the pairs she creates includes the correct first namelast name pairs of 2 people in the table?
A mathematics teacher provides the x and y coordinates of 10 points in a rectangular coordinate system. These points are (0.5, 4), (1, 4), (2, 4), (3, 4), (3, 5), (4, 5), (5, 5), (6, 5), (6.5, 5) and (7, 5). He asks a student to select 3 points at random. What is the probability that the chosen points form a triangle?
The ratio of men to women in a group is 2:3. 36% of the people in the group do not have a college degree while 60% of the women in the group have a college degree. If 1 person is to be randomly selected from the group, what is the probability that he is a man with a college degree?
Frequency Distribution of Integers in Set X and Set Y
X and Y are two sets that contain integers as shown the table above. What is the probability that the product of a randomly chosen integer from Set X and a randomly chosen integer from Set Y will be even?
In the given figure, ABC is an equilateral triangle such that AD= DB and DF is parallel to EG. If a point is chosen at random inside the triangle, what is the probability that the point would lie inside the quadrilateral DEGF?
For any integer P greater than 1, P! denotes the product of all the integers from 1 to P, inclusive. If one integer is selected at random between 5! And 5! + 10, inclusive, what is the probability that the chosen number will have only two factors?
Mary has p pencils and q pens in her bag while Sam has r pencils and s pens in his bag. If Mary and Sam pick up an item at random from their respective bags, who among them has a higher probability of picking up a pencil?
1) p > r
2) q > s
A box contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?
(1) The probability that the chosen ball is blue is onefourth of the probability that the chosen ball is not blue
(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is blue
Two distinct fair dice are rolled together. If a fair coin and a biased coin are also tossed together, what is the probability of getting 1 head and 1 tail on the coins and the sum of the two dice greater than 6? Assume that the probability of getting a head on the biased coin is 0.75.
In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?
(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD
(2) The length of side PQ is 20% greater than the length of side QR
A basket contains red and green balls. If two balls are drawn from the basket without replacement, what is the probability that both balls are red?
(1) If the balls were drawn with replacement, the probability of both balls being red would have been (2/5)^{2}
(2) The ratio of red and green balls in the basket is 2:3
129 videos132 docs146 tests

129 videos132 docs146 tests
