NCERT Class 11-Math's: Exemplar Chapter –16 Probability Part 9

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Question 16:

A sample space consists of 9 elementary outcomes whose probabilities are

Suppose

(a) Calculate , , and

(b) Using the addition law of probability, calculate

(c) List the composition of the event , and calculate by adding the probabilities of the elementary outcomes.

(d) Calculate from , also calculate directly from the elementary outcomes of

Answer:

(a

(b)

(c)

(d)

Question 17:

Determine the probability p, for each of the following events.

(a) An odd number appears in a single toss of a fair die.

(b) At least one head appears in two tosses of a fair coin.

(c) A king, 9 of hearts, or 3 of spades appears in drawing a single card from a well shuffled ordinary deck of 52 cards.

(d) The sum of 6 appears in a single toss of a pair of fair dice.

Answer:

(a)

(b)

(c)

(d)

Objective Type Questions

Choose the Correct Answer Out of Four Given Options in Each of the Exercises 18 to 29 (M.C.Q.)

Question 18:

In a non-leap year, the probability of having Tuesdays or Wednesdays is:

(A)

(B)

(C)

(D) None of these

Answer: (A)

Question 19:

Three numbers are chosen from 1 to 20. Find the probability that they are not consecutive

(A)

(B)

(C)

(D)

Answer: (B)

Question 20:

While shuffling a pack of playing cards, are accidentally dropped. Find the probability that the missing cards to be of different colours

(A)

(B)

(C)

(D)

Answer: (C)

Question 21:

Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is

(A)

(B)

(C)

(D)

Answer: (C)

Question 22:

Without repetition of the numbers, four digit numbers are formed with the numbers . The probability of such a number divisible by is

(A)

(B)

(C)

(D)

Answer: (D)