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## NCERT Solutions for Class 11 Maths Chapter 16

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### Class 11 Maths Chapter 16 Probability Solutions

**Download Exercise 16.1****Download Exercise 16.2****Download Exercise 16.3****Download Miscellaneous Exercise 16****NCERT Books for Class 11****Revision Books for Class 11**- Hindi Medium Solutions will be uploaded very soon.

#### Important Extra Questions on Probability

- A coin is tossed. If it shows head, we draw a ball from a bag consisting of 2 red and 3 black balls. If it shows tail, coin is tossed again. [Answer: {HR1, HR2, HB1, HB2, HB3, TH, TT}]
- Two balls are drawn at random in succession without replacement from a box containing 1 red and 3 identical white balls. [Answer: {RW, WR, WW}]
- A coin is tossed n times. Find the number of element in its sample space. [Answer: 2^n]
- One number is chosen at random from the numbers 1 to 21. What is the probability that it is prime? [Answer: 8/21]
- What is the probability that a given two-digit number is divisible by 15? [Answer: 1/15]
- A game has 18 triangular block out of which 8 are blue and rest are red, and 19 square blocks out of which 7 are blue and rest are yellow. On piece is lost. Find the probability that it was a square of blue colour. [Answer: 1/4]
- In a leap year find the probability of
- (i) 53 Mondays and 53 Tuesdays
- (ii) 53 Mondays and 53 Wednesday
- (iii) 53 Mondays or 53 Tuesdays. [Answer: (i) 1/7, (ii) 0, (iii) 3/7]

- In a non-leap year, find the probability of
- (i) 53 Mondays and 53 Tuesdays.
- (ii) 53 Mondays or 53 Tuesdays. [Answer: (i) 0, (ii) 2/7]

- Two card are drawn at random from a deck of 52 playing cards. Find the probability of drawing two kings. [Answer: 1/221]
- Find the probability that in a random arrangement of the letters of the word UNIVERSITY two I’s come together. [Answer: 1/5]
- Out of 8 points in a plane 5 are collinear. Find the probability that 3 points selected at random form a triangle. [Answer: 23/28]
- Find the probability of at most two tails or at least two heads in a toss of three coins. [Answer: 7/8]