### Eamcet - Maths - Basic Probability

A man throws a die until he gets a number bigger than 3. The probability that he gets a 5 in the last throw is

A.  1/2

B.  1/3

C.  2/3

D.  3/5

1/3

Explanation :
No Explanation available for this question

Two cards aredrawn from a pack. The probability that one of them is  a club and the  other is not a club is

A.  1/36

B.  5/108

C.  26/51

D.  13/34

13/34

Explanation :
No Explanation available for this question

The letters of the word SUCCESS are arranged in a row at random. The probability that all S’s come together is

A.  3/35

B.  1/7

C.  3/7

D.  1/5

3/35

Explanation :
No Explanation available for this question

A five digit number is formed by using the digits 0, 1,2,3,4 and 5 without repetetion.The probability that the number is divisible by 6 is

A.  9/50

B.  10/39

C.  2/3

D.  1/16

9/50

Explanation :
No Explanation available for this question

A mapping is selected at random from the set of all mappings from the set A={1,2,3}in to B= {1,2,3,4}.The probability that the mapping selected is many to one is

A.  5/8

B.  3/8

C.  1/4

D.  24/64

5/8

Explanation :
No Explanation available for this question

5 digit numbers can be formed from the digits 0, 2,2,4,5. One number is selected at random.the probability that it is divisible by 5 is

A.  7/16

B.    1/16 1/16 1/26 7/26 1/16 1/26 7/26

C.  1/26

D.  7/26

7/16

Explanation :
No Explanation available for this question

One hundred cards are numbered from 1 to 100. The probability that a randomly chosen card has a digit 5 is

A.  1/100

B.  9/100

C.  19/100

D.  none

19/100

Explanation :
No Explanation available for this question

If a number x is selected from natural numbers 1 to 100,then the probability for x+100/x >29 is

A.  41/50

B.  47/50

C.  39/50

D.  37/50

39/50

Explanation :
No Explanation available for this question

If 1+3p/3, 1-2p/2are the probability of two mutually exclusive events, then p lies

A.  [-1/3,1/2]

B.  (-1/2,1/2)

C.  [-1/3,2/3]

D.  [-1/2,2/3]

[-1/3,1/2]

Explanation :
No Explanation available for this question

A, B, C are three routes from the house to the office. On any day, the route selected by the officer is independent of the climate. On a rainy day, the probabilities of reaching the office late, through these routes are 1/25, 1/10, 1/4respectively. If a rainy day the officer is late to the office then the probability that the route to be B is

A.  5/6

B.  7/40

C.  29/40

D.  10/39

10/39

Explanation :
No Explanation available for this question

If three six faced dice are thrown together, then the probability that the sum of the numbers appearing on the dice is k(3≤k≤8)is

A.  (k-1)(k-2)/432

B.  k(k-1)/432

C.  k2/432

D.  none

(k-1)(k-2)/432

Explanation :
No Explanation available for this question

If n positive integers are taken at random and multiplied together , the probability that the last digit of the product is 2,4,6 or 8 is

A.  5n-3n/5n

B.  4n+2n/5n

C.  3n-2n/5n

D.  3n-2n/4n

5n-3n/5n

Explanation :
No Explanation available for this question

Five digit numbers can be formed from the digits 1,2,3,4,5. If one number is selected at random, the probability that it is an even number is

A.  4/7

B.  2/5

C.  7/16

D.  1/16

2/5

Explanation :
No Explanation available for this question

A bag contains four balls. Two balls are drawn and found them to be white. The probability that all the balls are white is

A.  1/2

B.  3/5

C.  1/4

D.  4/6

3/5

Explanation :
No Explanation available for this question

If 3 cards are drawn from a pack of cards, then the probability for the cards to be a king, a queen and a jack is

A.  52/52C3

B.  64/52C3

C.  78/52C3

D.  84/52C3

64/52C3

Explanation :
No Explanation available for this question

If the probability that A and B will die with in a year are p and q respectively, then the probability that only one of them will be alive at the end of the year is

A.  p+q

B.  p+q-2pq

C.  p+q-pq

D.  p+q+pq

p+q-2pq

Explanation :
No Explanation available for this question

The eccentricity o the ellipse 9x2+16y2=576 is

A.  √7/2

B.  √5/2

C.  7/12

D.  √7/4

√7/4

Explanation :
No Explanation available for this question

A bag contain 6 white and 4 black balls. A fair die is rolled and a number of balls equal to that appearing on the die is chosen from the bag at random. The probability that all the balls selected are white is

A.  1/5

B.  1/6

C.  1/7

D.  1/8

1/5

Explanation :
No Explanation available for this question

The vertex and focus of a parabola are (2, 1), (1, -1). Then the equation of the tangent at the vertex is

A.  x+2y-6=0

B.  x+2y-4=0

C.  x+2y-9=0

D.  x+2y-7=0

x+2y-4=0

Explanation :
No Explanation available for this question

If one ticket is randomly selected from, tickets numbered from 1to 30 then the probabilitythat the numbered on the tickets i a multiple of 5 or 7 is

A.  1/3

B.  2/3

C.  4/3

D.  5/3

1/3

Explanation :
No Explanation available for this question

If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0, then k=

A.  2

B.  3

C.  -2

D.  -3

3

Explanation :
No Explanation available for this question

A person has 3 shares in a lottery containing 2 prizes and 5 blanks. The chance of getting prize is

A.  3/10

B.  2/7

C.  5/7

D.  7/10

5/7

Explanation :
No Explanation available for this question

If P (A) =0.4, P (B) =0.5, P(C) =0.6, P (A∩B) =0.2, P (B∩C) =0.3, P (C∩A) =0.25, P (A∩B∩C) =0.1then P (AUBUC) =

A.  0.1

B.  0.9

C.  0.85

D.  0.8

0.85

Explanation :
No Explanation available for this question

The radical axis of the circles x2+y2-6x-4y-44=0 and x2+y2-14x-5y-24=0 is

A.  8x+y-30=0

B.  8x+y+20=0

C.  8x+3y-20=0

D.  8x+y-20=0

8x+y-20=0

Explanation :
No Explanation available for this question

Bag A contains4 white, 3black balls.Bag B contains 3 white and 5 black balls.One ball is drawn from each bag .The probability that both are black is

A.  3/14

B.  15/56

C.  29/56

D.  4/5

15/56

Explanation :
No Explanation available for this question

The radius of the sphere x2+y2+z2-2x+4y-6z+7=0 is

A.  49

B.  5

C.  -7

D.  √7

√7

Explanation :
No Explanation available for this question

The distance of (1, -2) from the common chord of x2+y2-5x+4y-2=0 and x2+y2-2x+8y+3=0 is

A.  2

B.  1

C.  0

D.  3

0

Explanation :
No Explanation available for this question

If the probability for A to fail in one exam is 0.2 and that of B is 0.3, then the probability that either A or B fails is

A.  0.14

B.  0.6

C.  0.44

D.  0.24

0.44

Explanation :
No Explanation available for this question

If 5 biscuits are distributed among 6 children, the probability that a particular child gets 4 sweets is

A.  10C4/ 610

B.  10C4*56/ 610

C.  10C4+56/ 610

D.  56/610

10C4*56/ 610

Explanation :
No Explanation available for this question

Three students A,B,C are to take part in a swimming competition. The probabilities of A ‘s winning or the probability of B’s winning of B’s winning is 3 times the probability of C’s winning. The probability of the event of either B or C to win is

A.  5/14

B.  3/7

C.  2/7

D.  4/7