Question

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 1 to 200, one on each cand 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.
Q.Find the probability of winning a wall clock.
Q.Find the probability of getting best luck better time.​

Answer 1

Step-by-step explanation:

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Answer 2

Given: 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 1 to 200, one on each cand 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.

To find:

1. The probability of winning a wall clock.

2. The probability of getting best luck better time.

Solution:

1. The probability of winning a wall clock is 0.07.

2. The probability of getting best luck better time is 1/40.

In order to calculate the probability of any event, the number of favourable outcomes must be divided by the total number of outcomes. Since there are 200 cards in total, the total number of outcomes is 200 in case of both the questions.

1.

To win a wall clock, the number on the card must be a perfect square. The largest number below 200 that is a perfect square is 196. It is the square of 14. Thus, the number of favourable outcomes is 14. So, the probability of getting a wall clock is

$\frac{14}{200} = \frac{7}{100}$

$= 0.07$

2.

To get a better luck next time, the number on the card must be a perfect cube. The largest number below 200 that is a perfect cube is 125. It is the cube of 5. Thus, the probability of getting a better luck next time is

$\frac{5}{200} = \frac{1}{40}$

Therefore,

1. The probability of winning a wall clock is 0.07.

2. The probability of getting best luck better time is 1/40.