Q1.

The Probability of guessing the correct answer to a particular question is a/3. If probability of not guessing the right answer is 2/3. Find the value of "a".

  • 1

  • 2

  • 3

  • 4

Solution:

NA

Q2.

In a IPL cricket match a batsman hits a boundary 9 times in four overs what is the probability that he will not hit the boundary.

  • 1/2

  • 5/8

  • 3/4

  • 4/5

Solution:

NA

Q3.
No. of head 0 1 2 3
Frequency 65 35 48 52

Three coins are tossed simultaneously 200 times, with the following frequencies given below.

Find the probability of getting at least two heads.

  • 1/3

  • 0.4

  • 1/2

  • 0.63

Solution:

NA

Q4.

Two coins are tossed simultaneous 1000 times with the following frequencies of different outcomes :

         Two heads:       210 times
         One heads       550 times 
          No heads        240 times 

 Find the probabiltiy at most one head

  • 79/100

  • 0.45

  • 0.85

  • 89/100

Solution:

NA

Q5.

A dice is rolled number of times and its outcomes are recorded as below : 

Outcomes 1 2 3 4 5 6
Frequency 40 45 60 55 38 62

 Find the probability of getting prime number .

  • \( {150 \over 250}\)

  • \({143 \over 250}\)

  • \({43 \over 200}\)

  • 450

Solution:

NA

Q6.

In a class there are 'a' boys and 'b' girls, a student is selected at random the find the probability of selecting a girl . 

  • \({b \over a + b}\)

  • \({b + a \over a + b}\)

  • \({b +a \over 2a}\)

  • b + a

Solution:

NA

Q7.

If the probabilty of winning a game is \({2 \over 7}\) less than the twice the probability of winning the game . 

  • \({4 \over 9}\)

  • \({7 \over 10}\)

  • \({4 \over 18}\)

  • \({4 \over 7}\)

Solution:

NA

Q8.

The difference between the probabilty of winning and lossing a game is \({1 \over 3}\). Find the probabilty of winning the game . 

  • \({1 \over 3}\)

  • \({2 \over 3}\)

  • \({2 \over 5}\)

  • \({5 \over 10}\)

Solution:

NA

Q9.

Two coins are tossed simultaneously for 120 times . The number of frequency of occurence of two tails and one tail is equal . Occurence of zero tail is twice to occurence of 2 tails . Find the probability of getting 1 tail .

  • 1/4

  • 2/4

  • 5/10

  • 2/6

Solution:

NA

Q10.

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes .

outcomes(heads) 9 2 1 0
frequency 68 72 30 x

Find x. 

  • 35

  • 40

  • 30

  • 44

Solution:

NA

Q11.

A coin tossed 200 times and the number of time head came up was noted . If the probability of this information of experiment is 3/5 , then how many times heads occured.

  • 120

  • 100

  • 110

  • 115

Solution:

NA

Q12.

When two coins are tossed simultaneously what are the chances of getting at least one head.

  • 3/4

  • 1/2

  • 2/3

  • 4/5

Solution:

NA

Q13.

If a number x is chosen at random from the numbers 1,2 and number y is chosen at random from the numbers 3,4. Then find the probability p(xy < 8)

  • 1/4

  • 3/4

  • 0.6

  • 0.9

Solution:

NA

Q14.

A bag contains 6 red balls and 5 white balls. A ball is drawn at random, find the probabillity of drawing a red ball.

  • 4/7

  • 3/7

  • 6/11

  • 9/11

Solution:

NA

Q15.

If 'A' is an impossible event and 'B' is a sure event find the probability of p(A) + p(B) = 

  • 2

  • 1/2

  • 0

  • 1

Solution:

NA

Q16.

Which one of the following can not be the probability of an event

  • -2/3

  • 0

  • 1

  • 4/5

Solution:

NA

Q17.

If 'x' shows the number of heads, find the probability of p(x < 3) in the data given below

No. of heads 0 1 2 3
Frequency 40 45 55 60

 

  • 2/5

  • 7/10

  • 1/4

  • 2/7

Solution:

NA