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There are six cards in a box, each bearing a number from 0 to 5. Find the probability of each of the following events, that a card drawn shows,

i. a natural number. 

ii. a number less than 1. 

iii. a whole number. 

iv. a number greater than 5.

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Best answer

Sample space (S) = {0, 1, 2, 3, 4, 5} 

∴ n(S) = 6

i. Let A be the event that the card drawn shows a natural number.

∴ A = {1, 2, 3, 4, 5} 

∴ n(A) = 5

ii. Let B be the event that the card drawn shows a number less than 1.

iii. Let C be the event that the card drawn shows a whole number.

iv. Let D be the event that the card drawn shows a number greater than 5. 

Here, the greatest number is 5. 

∴ Event D is an impossible event.

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