If a month is selected at random in a year, then find the probability that the month is either March or September.
(1) $\frac{1}{12}$
(2) $\frac{1}{6}$
(3) $\frac{3}{4}$
(4) None of these
A coin is tossed 1000 times. Head occured 625 times. Find the probability of getting a tail.
(1) $\frac{5}{8}$
(2) $\frac{7}{8}$
(3) $\frac{1}{8}$
(4) $\frac{3}{8}$
A dice is rolled 600 times and the occurance of the outcomes 1, 2, 3, 4, 5 and 6 are given below in the table:
Outcomes |
1 |
2 |
3 |
4 |
5 |
6 |
Frequency |
200 |
30 |
120 |
100 |
50 |
100 |
Final the probability of getting a prime number.
(1) $\frac{1}{3}$
(2) $\frac{2}{3}$
(3) $\frac{49}{60}$
(4) $\frac{39}{125}$
A bag contains 50 coins and each coin is marked from 51 to 100. One coin is picked at random. What is the probability that the number on the coin is not a prime number?
(1) $\frac{1}{5}$
(2) $\frac{3}{5}$
(3) $\frac{2}{5}$
(4) $\frac{4}{5}$
From the letters of the word 'MOBILE', if a letter is selected, what is the probability that the letter is a vowel?
(1) $\frac{1}{3}$
(2) $\frac{4}{7}$
(3) $\frac{3}{7}$
(4) $\frac{1}{2}$
The percentage of attendance of different classes in a year, in a school is given below:
Class |
X |
IX |
VIII |
VII |
VI |
V |
Attendance |
30 |
62 |
85 |
92 |
76 |
55 |
What is the probability that the class attendance is more than 75%?
(1) $\frac{1}{6}$
(2) $\frac{1}{3}$
(3) $\frac{5}{6}$
(4) $\frac{1}{2}$
In a book, the frequency of units digit of a number on the pages is given below:
Units Digits | Frequency |
0 | 50 |
1 | 40 |
2 | 10 |
3 | 25 |
4 | 15 |
5 | 80 |
6 | 90 |
7 | 110 |
8 | 120 |
9 | 60 |
Find the probability of getting 8 in the units place on the pages.
(1) $\frac{1}{5}$
(2) $\frac{1}{10}$
(3) $\frac{1}{4}$
(4) $\frac{1}{60}$
10 bags of rice, each bag marked 10 kg, actually contained the following weights of rice (in kgs), 10.03, 10.09, 9.97, 9.98, 10.01, 9.94, 10.05, 9.99, 9.95, 10,02. Find the probability that the bag chosen at random contains more than 10 kg.
(1) $\frac{1}{2}$
(2) $\frac{3}{5}$
(3) $\frac{5}{8}$
(4) $\frac{2}{5}$
If a three digit number is chosen at random, what is the probability that the chosen number is a multiple of 2?
(1) $\frac{499}{900}$
(2) $\frac{5}{9}$
(3) $\frac{1}{2}$
(4) $\frac{500}{899}$
If a two digits number is chosen at random, what is the probability that the number chosen is a multiple of 3?
(1) $\frac{3}{10}$
(2) $\frac{29}{100}$
(3) $\frac{1}{3}$
(4) $\frac{7}{25}$
The runs scored by Sachin Tendulkar in different years is given below:
Year | Score |
1996-97 | 1000 |
1197-98 | 3000 |
1999-2000 | 1000 |
2000-01 | 5000 |
2001-02 | 3000 |
2002-03 | 8000 |
2003-04 | 4000 |
What is the probability that in a year Sachin scored more than 3000 runs?
(1) $\frac{3}{7}$
(2) $\frac{1}{4}$
(3) $\frac{3}{4}$
(4) $\frac{5}{8}$
To know the opinion of people about the political leaders, a survey on 1000 members was conducted. The data recorded is shown in the following table:
Option | Number of People |
Like | 200 |
Dislike | 500 |
No opinion | 300 |
Find the probability that a person chosen at random is with no opinion on political leaders.
(1) $\frac{1}{2}$
(2) $\frac{3}{10}$
(3) $\frac{1}{5}$
(4) None of these
From 101 to 500, if a number is chosen at random, what is the probability that the number ends with 0?
(1) $\frac{41}{399}$
(2) $\frac{40}{399}$
(3) $\frac{1}{10}$
(4) $\frac{41}{400}$
A bag contains 12 pencils, 3 sharpeners and 7 pens. What is the probability of drawing a pencil from the bag?
(1) $\frac{6}{11}$
(2) $\frac{3}{22}$
(3) $\frac{7}{22}$
(4) $\frac{15}{22}$
Find the probability of getting a sum 10, when two dice are rolled.
The following are the steps involved in solving the above problem. Arrange them in sequential order.
(A) When the two dices are rolled, the number of possible outcomes = 6 × 6 = 36.
(B) Favourable outcomes are (4, 6), (5, 5) and (6, 4).
(C) The required probability = $\frac{3}{36}=\frac{1}{12}$.
(D) When a dice is rolled, the possible outcomes are 1, 2, 3, 4, 5 and 6.
(1) BADC
(2) DBAC
(3) BDAC
(4) DABC
Find the probability of getting a difference of 4, when two dice are rolled.
The following are the steps involved in solving the above problem. Arrange them in sequential order.
(A) When the two dices are rolled, the number of possible outcomes = 6 × 6 = 36.
(B) When a dice is rolled, the possible outcomes are 1, 2, 3, 4, 5 and 6.
(C) The required probability = $\frac{4}{36}=\frac{1}{9}$.
(D) Favourable outcomes are (1, 5), (5, 1), (2, 6) and (6, 2).
(1) ABCD
(2) ABDC
(3) BADC
(4) ADBC
In a football match, Ronaldo scores 4 goals from 10 penalty kicks. Find the probability of converting a penalty kick into a goal by Ronaldo.
(1) $\frac{1}{4}$
(2) $\frac{1}{6}$
(3) $\frac{1}{3}$
(4) $\frac{2}{5}$
From the month of August, whose first day is Tuesday. A day is selected at random. Find the probability that the day selected is not a Tuesday.
(1) $\frac{5}{6}$
(2) $\frac{26}{31}$
(3) $\frac{6}{31}$
(4) $\frac{27}{31}$
In a cricket match, Warne took three wickets in every 27 balls that he bowled. Find the probability of a batsman not getting out by Warne's bowling.
(1) $\frac{1}{9}$
(2) $\frac{4}{9}$
(3) $\frac{8}{9}$
(4) $\frac{5}{9}$
A day is selected at random from April, whose first day is Monday. Find the probability that the day selected is a Monday.
(1) $\frac{1}{7}$
(2) $\frac{1}{5}$
(3) $\frac{1}{6}$
(4) $\frac{2}{5}$
A month is selected at random in a year. Find the probability that it is either January or June.
(1) $\frac{1}{4}$
(2) $\frac{1}{3}$
(3) $\frac{1}{6}$
(4) $\frac{1}{2}$
A biased dice was rolled 800 times. The frequencies of teh various outcomes are given in the table below.
Outcome | 1 | 2 | 3 | 4 | 5 | 6 |
Frequency | 150 | 200 | 100 | 75 | 125 | 150 |
When the dice is rolled, the probability of getting a number which is a perfect square is _______ (approximately).
(1) $\frac{9}{32}$
(2) $\frac{11}{32}$
(3) $\frac{13}{32}$
(4) $\frac{15}{32}$
A two digits nmber is chosen at random. Find the probability that it is a multiple of 7.
(1) $\frac{11}{90}$
(2) $\frac{13}{90}$
(3) $\frac{7}{45}$
(4) $\frac{8}{45}$
In City X, there were 900 residents. A survey was conducted in it regarding the favourite beverages of the residents. The results of the survey are partially conveyed in the table below.
Beverages |
Number of Residents Liking it/them |
Only tea |
350 |
Only coffee |
250 |
Both tea and coffee |
200 |
Find the probability that a resident chosen at random likes only tea or only coffee.
(1) $\frac{2}{3}$
(2) $\frac{5}{9}$
(3) $\frac{7}{9}$
(4) $\frac{4}{9}$
Find the probability that a non-leap year contains exactly 53 Mondays.
(1) $\frac{6}{7}$
(2) $\frac{1}{7}$
(3) $\frac{52}{365}$
(4) None of these
Two dice were rolled simultaneously. Find the probability that the sum of the numbers on them was a two digits prime number.
(1) $\frac{1}{9}$
(2) $\frac{1}{18}$
(3) $\frac{1}{12}$
(4) $\frac{1}{6}$
Three biased coins were tossed 800 times simultaneously. The outcomes are given in the table below partially.
Outcome |
No head |
One head |
Two heads |
Frequency |
120 |
280 |
x |
If the occurance of two heads was thrice that of all heads. Find x.
(1) 150
(2) 240
(3) 300
(4) 360
In the previous question 27, find the probability that the sum of the numbers on the dice was a perfect cube.
(1) $\frac{5}{36}$
(2) $\frac{7}{36}$
(3) $\frac{2}{9}$
(4) $\frac{1}{6}$
A three digits number was chosen at random. Find the probability that it's hundreds digit, tens digit and units digit are consecutive integers in descending order.
(1) $\frac{1}{75}$
(2) $\frac{4}{225}$
(3) $\frac{2}{225}$
(4) $\frac{1}{45}$
x = ABCDEFGHIJ...Z. Find the probability of a letter selected from those in odd position of x being a vowel.
(1) $\frac{5}{13}$
(2) $\frac{6}{13}$
(3) $\frac{7}{13}$
(4) $\frac{8}{13}$
In a bag, there are 2 red balls, 3 green balls and 4 brown balls. Find the probability of drawing a ball at random being red or green.
(1) $\frac{5}{9}$
(2) $\frac{1}{4}$
(3) $\frac{1}{5}$
(4) $\frac{4}{9}$
Year X is not a leap year. Find the probability of X containing exactly 53 Sundays.
(1) $\frac{1}{7}$
(2) $\frac{2}{7}$
(3) $\frac{3}{7}$
(4) $\frac{1}{14}$
A three digits number was chosen at random. Find the probability that it is divisible by both 2 and 3.
(1) $\frac{1}{12}$
(2) $\frac{1}{6}$
(3) $\frac{1}{9}$
(4) $\frac{1}{8}$