Probability

If P(E) = 0.37, then P(not E) will be:
1. 0.37
2. 0.63
3. 0.57
4. None of these
Probability of getting even number in a single throw of dice is:
1. $\frac{1}{2}$
2. $\frac{1}{6}$
3. $\frac{5}{6}$
4. None of these
One card is drawn from a pack of 52 cards. The probability that it is the card of a king or a queen is:
1. $\frac{1}{26}$
2. $\frac{3}{26}$
3. $\frac{4}{13}$
4. $\frac{3}{13}$
Probability of drawing an ace from a deck of 52 cards is:
1. $\frac{1}{52}$
2. $\frac{1}{26}$
3. $\frac{1}{13}$
4. $\frac{3}{52}$
There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is:
1. $\frac{5}{8}$
2. $\frac{1}{2}$
3. $\frac{3}{8}$
4. None of these
The probabilities of happening of two events A and B are 0.25 and 0.50 respectively. If the probability of happening of A and B together is 0.14, then probability that neither A nor B happens is:
1. 0.39
2. 0.25
3. 0.11
4. None of these
Probability of drawing a 10 number card of a black suit from a deck of 52 cards is:
1. $\frac{1}{52}$
2. $\frac{1}{26}$
3. $\frac{1}{13}$
4. None of these
One of the two events must occur. If the chance of one is $\frac{2}{3}$ of the other, then odds in favour of the other is:
1. 1 : 3
2. 3 : 1
3. 2 : 3
4. 3 : 2
There are 50 tickets numbered from 1 to 50 in a box. Probability of drawing a ticket bearing prime number is:
1. $\frac{13}{50}$
2. $\frac{3}{10}$
3. $\frac{17}{50}$
4. None of these
Probability of a leap year having 53 Sundays is:
1. $\frac{1}{7}$
2. $\frac{3}{7}$
3. $\frac{2}{7}$
4. None of these
There are 6 marbles in a box with number 1 to 6 marked on each of them. What is the probability of drawing a marble with number 2?
1. $\frac{1}{6}$
2. $\frac{1}{5}$
3. $\frac{1}{3}$
4. 1
A coin is flipped to decide which team starts the game. What is the probability of your team will start?
1. $\frac{1}{4}$
2. $\frac{1}{2}$
3. 1
4. 0
If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is:
1. > 0.5
2. 0.5
3. $\leq 0.5$
4. 0
A bag has 4 red balls and 2 yellow balls. A ball is drawn from the bag without into the bag. What is the probability of getting a red ball?
1. $\frac{2}{3}$
2. $\frac{1}{6}$
3. $\frac{1}{3}$
4. 1
If A and B are mutually exclusive events then:
1. $P (A) \leq P (\bar{B})$
2. $P (A) \geq P (\bar{B})$
3. $P (A) < P (\bar{B})$
4. None of these
Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a number greater than 25?
1. 1
2. 0
3. $\frac{1}{5}$
4. $\frac{2}{5}$
Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a multiple of 5?
1. 1
2. 0
3. $\frac{1}{5}$
4. $\frac{1}{25}$
Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting an even number?
1. 1
2. 0
3. $\frac{12}{25}$
4. $\frac{13}{25}$
If $P (A \cup B) = P (A \cap B)$ for any two events A and B then:
1. $P (A) > P (B)$
2. $P (A) = P (B)$
3. $P (A) < P (B)$
4. None of these
If the probability of A to fail in an examination is $\frac{1}{5}$ and that of B is $\frac{3}{10}$ . Then the probability that either A or B fails is:
1. $\frac{1}{2}$
2. $\frac{11}{25}$
3. $\frac{19}{50}$
4. None of these
The probability of the events lies between:
1. $- 1 \leq p \leq 1$
2. $0 \leq p \leq 1$
3. $- 1 \leq p \leq 0$
4. $- 1 < p \leq 1$
Twelve bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):
4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00, 5.12
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
1. $\frac{1}{12}$
2. $\frac{7}{12}$
3. $\frac{2}{3}$
4. None of these
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of mobile sets in a home. The information so obtained is listed in the following table:

Find the probability of a household earning Rs 10000 – Rs 14999 per year and having exactly one mobile set.
1. 0.06
2. 0.08
3. 0.04
4. 0
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of mobile sets in a home. The information so obtained is listed in the following table:

Find the probability of a household earning more than 25000 per year and having exactly 2 mobile set.
1. 0.2
2. 0.19
3. 0.12
4. 0.3
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of mobile sets in a home. The information so obtained is listed in the following table:

Find the probability of a household earning more than 25000 per year and having 2 or more mobile set.
1. 0.245
2. 0.3
3. 0.1
4. None of these
Five persons entered the lift cabin on the ground floor of an 8 floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all 5 persons leaving at different floor is:
1. $\frac{{}^{7}P_{5}}{7^{5}}$
2. $\frac{7^{5}}{{}^{7}P_{5}}$
3. $\frac{6}{{}^{6}P_{5}}$
4. $\frac{{}^{5}P_{5}}{5^{5}}$
Twenty four people had a blood test and the results are shown below:

If a person is selected randomly from the group of twenty four people, what is the probability that his/her blood type is not O?
1. $\frac{17}{24}$
2. $\frac{12}{24}$
3. $\frac{7}{24}$
4. $\frac{11}{24}$
On the page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 55828573, the unit place is 3) is given in the table below:

A number is chosen at random, find the probability that the digit at the unit’s place is 9:
1. $\frac{3}{10}$
2. $\frac{1}{100}$
3. $\frac{1}{10}$
4. None of these
On the page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 55828573, the unit place is 3) is given in the table below:

A number is chosen at random, find the probability that the digit at the unit’s place is a non- zero multiple of 3:
1. $\frac{7}{25}$
2. $\frac{9}{25}$
3. 1
4. 0
A tyre manufacturing company kept a record of the distance covered before a tyre to be replaced. Following table shows the results of 1000 cases:

If you buy a tyre of this company, what is the probability that it will last more than 900 km?
1. $\frac{91}{200}$
2. 1
3. $\frac{93}{200}$
4. None of these

Probability

Quiz