Probability Tes...

A natural number is selected at random and is divided by 4. What is the probability that the resulting number will be an integer?

Three dice are rolled together. What is the probability of getting the same number on the three?

If four coins are tossed, then what are the chances of getting two heads and two tails?

One card is drawn from a deck of 52 cards. The probability of drawing a card of club is

The probability that a card drawn from a pack of 52 cards will be either a diamond or a king is

A pair of dice is thrown. Find the probability of the numbers appearing whose sum is greater than or equal to 10.

Two dice are thrown simultaneously. What is the probability of getting two numbers whose sum is odd?

A card is drawn from a well-shuffled pack of 52 cards. The probability of getting a queen of club or king of heart is

Two dice are rolled one after the other. The probability that the number on the first is smaller than the number on the second is

Tickets numbered 1 to 20 are mixed together and then a ticket is drawn at random. What is the probability that the drawn ticket has a number which is a multiple of 3 or 7?

Two dice are rolled and it is found that the sum of the numbers appeared on them is an odd number. What is the probability that both the dice give odd numbers?

A box contains 6 red, 7 green and 5 blue balls. Each ball is of a different size. The probability that the selected ball is the smallest red ball is

If two dice are rolled, find the probability that the sum of the two numbers obtained is a prime number.

A letter is randomly selected from the word "EDUCATION". What is the probability that the letter is a vowel?

A work is given separately to 6 men. Their probabilities of doing the work are , and . Find the probability that the work will be done.

A basket contains seven apples and fourteen oranges. If we select two fruits at random, then what is the probability that both will be different?

The probabilities of three doctors, A, B and C, achieving success in an operation are 0.5, 0.2 and 0.3, respectively. Find the probability that the operation is not successful.

While doing net practice, a spinner finds that the probability of his ball hitting the wickets is 1/3. Three balls are bowled simultaneously by him. Find the probability that the wickets will be hit at least once.

The probability that Anu would be alive in 2050 is and that of her husband being alive is . What is the probability that their kids will have at least one of the parents alive in 2050?

A man and his wife appear in an interview for two vacancies in the same post. The probability of the husband's selection is and that of the wife's selection is . What is the probability that neither of them will be selected?

State True (T) and False (F) for the following statements.

(i) The probability of an event can never be greater than 1.
(ii) When two dice are rolled, the probability of getting the sum of 13 of two numbers appeared is .
(iii) In a 12-month period, the probability of a month having 31 days is .
(iv) In the English alphabet, if a letter is randomly chosen, the probability that the letter is a consonant is .

A card is drawn from a well shuffled pack of cards. Which of the following statements is/are CORRECT in this regard?

Statement-1: The probability of the selected card being a diamonds or a hearts is .
Statement-2: The probability of the selected card being a red coloured bearing an even number is .

Two bats are flipped simultaneously. Find A and B, respectively.

Number of hills up		Required probability
(i)	0	A
(ii)	2	B

The following table gives the estimated height of people living in a society.

Number of people	Height (in inches)
13	48-51
9	51-54
23	54-57
10	57-60
5	60-63

Note: 48-51 means (48 ≤ height < 51)

If a person is selected at random from the society, then which of the following statements is INCORRECT?

A survey was conducted on 500 students by a certain group to analyse the sectors which they chose after passing class 12^th, having their stream of education as Arts, Commerce and Science after class 10^th. The data of the survey is given below.

	Arts	Commerce	Science
Bachelor's Degree	50	100	210
Business	2	30	20
Sports	4	6	3
Photography	16	4	1
Others	28	10	16

Find the probability of students:
(a) Having Science or Arts as their stream choosing the Business sector
(b) Having Photography as their sector
(c) Having Commerce as their stream choosing the Sports or 'Others' sector with respect to all the Commerce students.

	(a)	(b)	(c)
(i)	17/350	19/500	8/75
(ii)	11/175	21/500	8/75
(iii)	11/350	21/500	8/75
(iv)	11/175	21/500	11/75