In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/8. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/8. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Nine hundred distinct N-digit numbers are to be formed by using 6, 8 and 9 only. The smallest value of N for which this is possible, is
Nine hundred distinct N-digit numbers are to be formed by using 6, 8 and 9 only. The smallest value of N for which this is possible, is
Let n be a positive integer with f(n) = 1! + 2! + 3! + . . . + n! and P(x), Q(x) be polynomials in x such that f(n+2) = P(n)f(n+1) + Q(n)f(n) for all n>= 1. Then
Let n be a positive integer with f(n) = 1! + 2! + 3! + . . . + n! and P(x), Q(x) be polynomials in x such that f(n+2) = P(n)f(n+1) + Q(n)f(n) for all n>= 1. Then
Two dice are rolled. What is the probability the sum will be greater than 10?
Two dice are rolled. What is the probability the sum will be greater than 10?
Out of a classroom of 6 boys and 4 girls the teacher picks a president for the student board, a vice president and a secretary. What is the probability that only girls will be elected?
Out of a classroom of 6 boys and 4 girls the teacher picks a president for the student board, a vice president and a secretary. What is the probability that only girls will be elected?
y = x + r and y = - x + r where r takes all decimal digits. Then the number of squares in xy plane formed by these lines with diagonals of 2 units length are
y = x + r and y = - x + r where r takes all decimal digits. Then the number of squares in xy plane formed by these lines with diagonals of 2 units length are
The number of solutions of the inequation \(^{10}C_{x-1}>3\) . \(^{10}C_x\) is
The number of solutions of the inequation \(^{10}C_{x-1}>3\) . \(^{10}C_x\) is
Consider a set {1, 2, 3, . . . ., 100 } . The number of ways in which a number can be selected from the set so that it is of the form xy , where x, y, \(\in\) N and >= 2 , is
Consider a set {1, 2, 3, . . . ., 100 } . The number of ways in which a number can be selected from the set so that it is of the form xy , where x, y, \(\in\) N and >= 2 , is
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2?
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2?
The number of positive integral solutions of the equation \(X_1X_2X_3\) = 60 is
The number of positive integral solutions of the equation \(X_1X_2X_3\) = 60 is
The probability of having a girl is identical to the probability of having a boy. In a family with three children, what is the probability that all the children are of the same gender?
The probability of having a girl is identical to the probability of having a boy. In a family with three children, what is the probability that all the children are of the same gender?
In a flower shop, there are 5 different types of flowers. Two of the flowers are blue, two are red and one is yellow. In how many different combinations of different colors can a 3-flower garland be made?
In a flower shop, there are 5 different types of flowers. Two of the flowers are blue, two are red and one is yellow. In how many different combinations of different colors can a 3-flower garland be made?
In Rwanda, the chance for rain on any given day is 50%. What is the probability that it rains on 4 out of 7 consecutive days in Rwanda?
In Rwanda, the chance for rain on any given day is 50%. What is the probability that it rains on 4 out of 7 consecutive days in Rwanda?
The number of divisors of 3630, which have a remainder of 1 when divided by 4, is
The number of divisors of 3630, which have a remainder of 1 when divided by 4, is
Let y be an element of the set A = {1, 2, 3, 5, 6, 10, 15, 30} and \(X_1,X_2,X_3\) be positive integers such that \(X_1X_2X_3\)
= y, then the number of positive integral solutions of x1x2x3 = y is
Let y be an element of the set A = {1, 2, 3, 5, 6, 10, 15, 30} and \(X_1,X_2,X_3\) be positive integers such that \(X_1X_2X_3\)
= y, then the number of positive integral solutions of x1x2x3 = y is
Let S be the set of 6-digit numbers a1a2a3a4a5a6 (all digits distinct) where a1 > a2 > a3 > a4 < a5 < a6 . Then n(S) is equal to
Let S be the set of 6-digit numbers a1a2a3a4a5a6 (all digits distinct) where a1 > a2 > a3 > a4 < a5 < a6 . Then n(S) is equal to
The number of ordered pairs (m, n) ( m, n \(\in\) { 1, 2, . . ., 20} )
such that 3m +7n is a multiple of 10, is
The number of ordered pairs (m, n) ( m, n \(\in\) { 1, 2, . . ., 20} )
such that 3m +7n is a multiple of 10, is
The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
In a jar there are 3 red balls and 2 blue balls. What is the probability of drawing at least one red ball when drawing two consecutive balls randomly?
In a jar there are 3 red balls and 2 blue balls. What is the probability of drawing at least one red ball when drawing two consecutive balls randomly?
In a blue jar there are red, white and green balls. The probability of drawing a red ball is 1/5. The probability of drawing a red ball, returning it, and then drawing a white ball is 1/10. What is the probability of drawing a white ball?
In a blue jar there are red, white and green balls. The probability of drawing a red ball is 1/5. The probability of drawing a red ball, returning it, and then drawing a white ball is 1/10. What is the probability of drawing a white ball?