Probability Tes...

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.

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 1/36.
(iii) In a 12-month period, the probability of a month having 31 days is 1/2.
(iv) In the English alphabet, if a letter is randomly chosen, the probability that the letter is a consonant is 21/26.

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

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

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.

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.