Case study (4 Marks)

Question 14 Marks

Rahul goes to a fete in Mussoorie. There he saw a game having prizes - wall clocks, power banks, puppets and water bottles. The game consists of a box having cards inside it, bearing the numbers I to 200, one on each card. A person has to select a card at random. Now, the winning of prizes has the following conditions:

Wall clock- If the number on the selected card is a perfect square.
Power bank - If the number on the selected card is multiple of 3.
Puppet - If the number on selected card is divisible by 10.
Water bottle - If the number on the selected card is a prime number more than 100 but less than 150.
Better luck next time - If the number on the selected card is a perfect cube.

On the basis of above information, answer the following questions.

Find the probability of winning a puppet.
What is the probability of winning a water bottle?
What is the probability of winning a Power bank?
Or
What is the probability of winning a wall clock?

Answer

1. $\frac{1}{10}$
2. $\frac{1}{20}$
3. $\frac{33}{100}$
Or
$\frac{7}{100}$

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Question 24 Marks

Two families- Gupta's and Singhal's are lived in a colony. Gupta family has two children while Singhal family has 3 children.

On the basis of the above information, answer the following questions.

Find the probability that Mr Singhal has exactly 2 girls and 1 boy.
What is the probability of Gupta having atleast 1 boy?
What is the probability of Gupta having atleast 1 Girl?
Or
What is the probability of Singhal having no boy?

Answer

1. $\frac{1}{4}$2. $\frac{2}{3}$
3. $\frac{2}{3}$
Or
$\frac{1}{4}$

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Question 34 Marks

ln the month of May, the weather forecast department gives the prediction of weather for the month of June. The given table shows the probabilities of forecast of different days:

Days	Days	Cloudy	Partially cloudy	Rainy
Probability	$\frac{1}{2}$	x	$\frac{1}{5}$	y

lf the forecast is 100% correct for June, then answer the following questions.

The number of sunny days in June, is?
If the number of cloudy days in June is 5, then x = ?
The probability that the day is not rainy will be ?
Or
If the sum of x and y is $\frac{3}{10},$ then the number of rainy days in June will be ?

Answer

1. 152. $\frac{1}{6}$
3. $\frac{13}{15}$
Or
4

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Question 44 Marks

Four friends are playing with cards. One of them hides all the 2's, S's and Jacks from the deck of 52 cards and then shuffles the remaining cards. Now, he tells to one of his friend to pick a card at random from the remaining cards.

On the basis of above information, answer the following questions.

What is the probability of getting '6 of spade'?
What is the probability of getting a black diamond?
What is the probability of getting a face card?
Or
What is the probability of getting a club?

Answer

1. $\frac{1}{40}$2. 0
3. $\frac{1}{5}$
Or
$\frac{1}{4}$

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Question 54 Marks

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.

If the probability of distributing milk chocolates is $\frac{1}{3}$ then the number of milk chocolates Rohit has ?
If the probability of distributing dark chocolates is $\frac{4}{9}$ If the probability of distributing dark chocolates is.
If the probability of distributing dark chocolates is.
Or
The probability of distributing both milk and white chocolates is.

Answer

1. 182. 24
3. $\frac{2}{9}$
Or
$\frac{5}{9}$

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Maths Case study (4 Marks)

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