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CBSE 10th Standard Maths Subject Probability Case Study Questions 2021

10th Standard CBSE

Maths

Time : 01:00:00 Hrs

Total Marks : 25

Case Study Questions

In a play zone, Nishtha is playing claw crane game which consists of 58 teddy bears, 42 pokemons, 36 tigers and 64 monkeys. Nishtha picks a puppet at random. Now, find the probability of getting

(i) a tiger

(a) \(\begin{equation} \frac{3}{50} \end{equation}\)	(b) \(\begin{equation} \frac{9}{50} \end{equation}\)
(c) \(\begin{equation} \frac{1}{25} \end{equation}\)	(d) \(\begin{equation} \frac{27}{50} \end{equation}\)

(ii) a monkey

(a) \(\begin{equation} \frac{8}{25} \end{equation}\)	(b) \(\begin{equation} \frac{4}{25} \end{equation}\)
(c) \(\begin{equation} \frac{16}{25} \end{equation}\)	(d) \(\begin{equation} \frac{1}{5} \end{equation}\)

(iii) a teddy bear

(a) \(\begin{equation} \frac{41}{50} \end{equation}\)	(b) \(\begin{equation} \frac{29}{50} \end{equation}\)
(c) \(\begin{equation} \frac{29}{100} \end{equation}\)	(d) \(\begin{equation} \frac{41}{100} \end{equation}\)

(iv) not a monkey

(a) \(\begin{equation} \frac{1}{25} \end{equation}\)	(b) \(\begin{equation} \frac{8}{25} \end{equation}\)
(c) \(\begin{equation} \frac{13}{25} \end{equation}\)	(d) \(\begin{equation} \frac{17}{25} \end{equation}\)

(v) not a pokemon

(a) \(\begin{equation} \frac{27}{100} \end{equation}\)	(b) \(\begin{equation} \frac{43}{100} \end{equation}\)
(c) \(\begin{equation} \frac{61}{100} \end{equation}\)	(d) \(\begin{equation} \frac{79}{100} \end{equation}\)

Rohit wants to distribute chocolates in his class on his birthday. The chocolates are of three types: Milk chocolate, White chocolate and Dark chocolate. If the total number of students in the class is 54 and everyone gets a chocolate, then answer the following questions.

(i) If the probability of distributing milk chocolates is 1/3, then the number of milk chocolates Rohit has, is

(a) 18	(b) 20
(c) 22	(d) 30

(ii) If the probability of distributing dark chocolates is 4/9, then the number of dark chocolates Rohit has, is

(a) 18	(b) 25
(c) 24	(d) 36

(iii) The probability of distributing white chocolates is

(a) \(\begin{equation} \frac{11}{27} \end{equation}\)	(b)\(\begin{equation} \frac{8}{21} \end{equation}\)
(c) \(\begin{equation} \frac{1}{9} \end{equation}\)	(d) \(\begin{equation} \frac{2}{9} \end{equation}\)

(iv) The probability of distributing both milk and white chocolates is

(a) \(\begin{equation} \frac{3}{17} \end{equation}\)	(b) \(\begin{equation} \frac{5}{9} \end{equation}\)
(c) \(\begin{equation} \frac{1}{3} \end{equation}\)	(d) \(\begin{equation} \frac{1}{27} \end{equation}\)

(v) The probability of distributing all the chocolates is

(a) 0	(b) 1
(c) \(\begin{equation} \frac{1}{2} \end{equation}\)	(d) \(\begin{equation} \frac{3}{4} \end{equation}\)

In a party, some children decided to play musical chair game. In the game the person playing the music has been advised to stop the music at any time in the interval of 3 mins after he start the music in each turn. On the basis of the given information, answer the following questions.
(i) What is the probability that the music will stop within first 30 sees after starting?

(a) \(\begin{equation} \frac{1}{6} \end{equation}\)	(b) \(\begin{equation} \frac{1}{5} \end{equation}\)
(c) \(\begin{equation} \frac{1}{4} \end{equation}\)	(d) \(\begin{equation} \frac{1}{3} \end{equation}\)

(ii) The probability that the music will stop within 45 sees after starting is

(a) \(\begin{equation} \frac{1}{4} \end{equation}\)	(b) \(\begin{equation} \frac{1}{5} \end{equation}\)
(c) \(\begin{equation} \frac{1}{6} \end{equation}\)	(d) \(\begin{equation} \frac{1}{8} \end{equation}\)

(iii) The probability that the music will stop after 2 mins after starting is

(a) \(\begin{equation} \frac{1}{8} \end{equation}\)	(b) \(\begin{equation} \frac{1}{5} \end{equation}\)
(c) \(\begin{equation} \frac{1}{4} \end{equation}\)	(d) \(\begin{equation} \frac{1}{3} \end{equation}\)

(iv) The probability that the music will not stop within first 60 sees after starting is

(a) \(\begin{equation} \frac{1}{3} \end{equation}\)	(b) \(\begin{equation} \frac{2}{3} \end{equation}\)
(c) \(\begin{equation} \frac{4}{5} \end{equation}\)	(d) \(\begin{equation} \frac{8}{9} \end{equation}\)

(v) The probability that the music will stop within first 82 sees after starting is

(a) \(\begin{equation} \frac{11}{30} \end{equation}\)	(b) \(\begin{equation} \frac{41}{90} \end{equation}\)
(c) \(\begin{equation} \frac{31}{35} \end{equation}\)	(d) \(\begin{equation} \frac{41}{93} \end{equation}\)

Three persons toss 3 coins simultaneously and note the outcomes. Then, they ask few questions to one another. Help them in finding the answers of the following questions.

(i) The probability of getting atmost one tail is

(a) 0	(b) 1
(c) \(\begin{equation} \frac{1}{2} \end{equation}\)	(d) \(\begin{equation} \frac{1}{4} \end{equation}\)

(ii) The probability of getting exactly 1 head is

(a) \(\begin{equation} \frac{1}{2} \end{equation}\)	(b) \(\begin{equation} \frac{1}{4} \end{equation}\)
(c) \(\begin{equation} \frac{1}{8} \end{equation}\)	(d) \(\begin{equation} \frac{3}{8} \end{equation}\)

(iii) The probability of getting exactly 3 tails is

(a) 0	(b) 1
(c) \(\begin{equation} \frac{1}{4} \end{equation}\)	(d) \(\begin{equation} \frac{1}{8} \end{equation}\)

(iv) The probability of getting atmost 3 heads is

(a) 0	(b) 1
(c) \(\begin{equation} \frac{1}{2} \end{equation}\)	(d) \(\begin{equation} \frac{1}{8} \end{equation}\)

(v) The probability of getting atleast two heads is

(a) 0	(b) 1
(c) \(\begin{equation} \frac{1}{2} \end{equation}\)	(d) \(\begin{equation} \frac{1}{4} \end{equation}\)

Prateek goes to a toy shop to purchase a building block kit for his son. He found that the kit contains 120 blocks, of which 40 are red, 25 are blue, 30 are green and the rest are yellow. His son picks up a block at random. Find the probability that the block is

(i) of red colour

(a) 0	(b) 1
(c) \(\begin{equation} \frac{1}{2} \end{equation}\)	(d) \(\begin{equation} \frac{1}{3} \end{equation}\)

(ii) not of yellow colour

(a) \(\begin{equation} \frac{1}{6} \end{equation}\)	(b) \(\begin{equation} \frac{1}{4} \end{equation}\)
(c) \(\begin{equation} \frac{19}{24} \end{equation}\)	(d) \(\begin{equation} \frac{19}{25} \end{equation}\)

(iii) of green colour

(a) \(\begin{equation} \frac{1}{8} \end{equation}\)	(b) \(\begin{equation} \frac{1}{10} \end{equation}\)
(c) \(\begin{equation} \frac{1}{4} \end{equation}\)	(d) \(\begin{equation} \frac{1}{12} \end{equation}\)

(iv) of yellow colour

(a) \(\begin{equation} \frac{15}{118} \end{equation}\)	(b) \(\begin{equation} \frac{5}{24} \end{equation}\)
(c) \(\begin{equation} \frac{17}{24} \end{equation}\)	(d) \(\begin{equation} \frac{19}{50} \end{equation}\)

(v) not of blue colour

(a) \(\begin{equation} \frac{1}{8} \end{equation}\)	(b) \(\begin{equation} \frac{19}{24} \end{equation}\)
(c) \(\begin{equation} \frac{19}{31} \end{equation}\)	(d) \(\begin{equation} \frac{16}{55} \end{equation}\)

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