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VISIT TO FETESimran goes to a fete in Mumbai. There was an interesting game of cards . A boxcontaining cards numbered from 1 to 200 was placed on a table. A person has toselect a card a card at random. Exciting prizes were awaiting for the winner;but with conditions !!!·       Wall clock – If thenumber on the selected card is a perfect square·       Power bank – If thenumber on the selected card is a multiple of 3·       Puppet – If the numberon the selected card is divisible by 10·       Water bottle – If thenumber 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 cubeOn the basis of theabove information , answer these questions9. The Probability of winning a water bottle is1 pointOption 1Option 2Option 3Option 410. The Probability of winning a Power bank is1 pointOption 1Option 2Option 3Option 411. The Probability of winning a Wall clock is1 pointOption 1Option 2Option 3Option 412. The Probability of getting ‘Better Luck Next Time’ is 1 pointOption 1Option 2Option 3Option 4

Question

VISIT TO FETESimran goes to a fete in Mumbai. There was an interesting game of cards . A boxcontaining cards numbered from 1 to 200 was placed on a table. A person has toselect a card a card at random. Exciting prizes were awaiting for the winner;but with conditions !!!·       Wall clock – If thenumber on the selected card is a perfect square·       Power bank – If thenumber on the selected card is a multiple of 3·       Puppet – If the numberon the selected card is divisible by 10·       Water bottle – If thenumber 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 cubeOn the basis of theabove information , answer these questions9. The Probability of winning a water bottle is1 pointOption 1Option 2Option 3Option 410. The Probability of winning a Power bank is1 pointOption 1Option 2Option 3Option 411. The Probability of winning a Wall clock is1 pointOption 1Option 2Option 3Option 412. The Probability of getting ‘Better Luck Next Time’ is 1 pointOption 1Option 2Option 3Option 4

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Solution

  1. The Probability of winning a water bottle is 1 point Option 1 Option 2 Option 3 Option 4

To calculate the probability of winning a water bottle, we need to determine the number of cards that meet the given condition (being a prime number between 100 and 150) and divide it by the total number of cards (200).

Step 1: Count the number of prime numbers between 100 and 150. Prime numbers between 100 and 150 are: 101, 103, 107, 109, 113, 127, 131, 137, 139, 149. So, there are 10 prime numbers in this range.

Step 2: Calculate the probability. Probability = Number of favorable outcomes / Total number of outcomes Probability of winning a water bottle = 10 / 200 Probability of winning a water bottle = 1/20

Therefore, the probability of winning a water bottle is 1/20.

Option 1

This problem has been solved

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