A bag contains cards numbered from 1 to 100 A card is drawn at random from the bag - Maths - Probability

Question

A bag contains cards numbered from 1 to 100 A card is drawn at
random from the bag
Find
the probability that the card bears
i) a number which is a multiple of 5
ii) a number which is greater than or equal to 90

Manbar Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query :

Let S be the sample space
S = 1,2,3,4, ,99,100nS = 100i
Let E be the event of getting a card bearing a number that is a multiple of 5
E = 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100nE = 20PE = nEnS = 20100 = 15ii
Let F be the event of getting a card bearing a number greater than or equal to 90
F = 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100nF = 11PF = nFnS = 11100

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A bag contains cards numbered from 1 to 100. A card is drawn at random from the bag. Find the probability that the card bears i) a number which is a multiple of 5 ii) a number which is greater than or equal to 90.

A bag contains cards numbered from 1 to 100. A card is drawn at random from the bag.
Find
the probability that the card bears
i) a number which is a multiple of 5
ii) a number which is greater than or equal to 90.