A Bag contains 20 tickets marked with numbers 1 to 20. one ticket is drawn at random. find the probability that it will be a multiple of (i) 2 or 5. (ii) 3 or 5.
Answers
Answer:
TOTAL TICKETS = 20
PROBABILITY THAT IT WILL BE A MULTIPLE OF 2 OR 5 = 8/20
PROBABILITY THAT IT WILL BE A MULTIPLE OF 3 OR 5 = 5/20
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Given,
Total tickets = 20
To Find,
The probability that it will be a multiple of 2 or 5 =?
The probability that it will be a multiple of 3 or 5 =?
Solution,
Multiples of 2 or 5 between 1 - 20 = [2,4,6,8,10,12,14,16,18,20,5,15]
Number of Multiples of 2 or 5 between 1 - 20 = 12
Multiples of 3 or 5 between 1 - 20 = [3,5,6,9,12,15,18,10,20 ]
Number of Multiples of 3 or 5 between 1 - 20 = 9
Therefore,
The probability that it will be a multiple of 2 or 5 = 12/ 20
The probability that it will be a multiple of 2 or 5 = 3 / 5
The probability that it will be a multiple of 3 or 5 = 9/20
Hence, the probability that it will be a multiple of 2 or 5 and 3 or 5 is 3/5 and 9/20 respectively.