ICSE Board Practice

ICSE Grade X - Probability
Question 1
1.
    • Three coins are tossed simultaneously 205 times with the following frequencies of different outcomes :
    • Outcome
      3 heads
      2 heads
      1 heads
      No heads
      Frequency
      30
      45
      55
      75
    • If the three coins are simultaneously tossed again, compute the probability of 'No heads' coming up.
  • 15

    41
  • 14

    41
  • 26

    41
  • 16

    41
  • 8

    21
Question 2
2.
A survey of 50 men showed that only 25 of them know French. Out of these men, if one is selected at random, what is the probability that the selected man knows French?
  • 2

    3
  • 4

    5
  • 5

    6
  • 3

    4
  • 1

    2
Question 3
3.
Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
  • 1
  • 1

    2
  • 4

    5
  • 1

    4
  • 3

    4
Question 4
4.
Suppose a die is thrown on a rectangular region as shown below. What is the probability that it will land inside the circle of diameter 18.00 cm?
  • 891

    2842
  • 892

    2843
  • 446

    1421
  • 445

    1421
  • 1951

    2842
Question 5
5.
A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.
  • 1

    5
  • 2

    5
  • 4

    5
  • 1

    3
  • 0
Question 6
6.
An unbiased die is thrown once. Find the probability of getting a number greater than 3?
  • 3

    4
  • 2

    3
  • 5

    6
  • 4

    5
  • 1

    2
Question 7
7.
A die is thrown 130 times. Prime numbers appeared on the upper face 75 times. If a die is thrown at random, what is the probability of getting a prime number?
  • 11

    26
  • 8

    13
  • 16

    27
  • 7

    13
  • 15

    26
Question 8
8.
Aishwarya and Maya are friends. What is the probability that both will have same birthdays? (ignoring a leap year).
  • 364

    365
  • 1

    365
  • 2

    365
  • 0
  • 1

    183
Question 9
9.
In a lottery, there are 10 prizes and 17 blanks. What is the probability of getting a prize?
  • 1

    3
  • 17

    27
  • 10

    27
  • 11

    28
  • 11

    27
Question 10
10.
Which of the following experiments have equally likely outcomes?
a)
A true/false question is attempted. The answer is either right or wrong
b)
A baby is born. It is a boy or girl
c)
A man throws a die. The number on the top is either 4 or not 4
d)
A man starts his vehicle. It starts or it does not starts
e)
A ball is hit. It reaches the boundary or not
  • {d,b,a}
  • {d,b}
  • {a,b}
  • {e,c,a}
  • {c,a}