4. Numbers from 1 to 20 are written on 20 separate slips. The slips are put into a
box and mixed thoroughly. One slip is drawn from the box randomly. What is
the probability of
(i) drawing an even number?
(ii) drawing a prime number?
(iii) drawing a number greater than 15?
(iv) drawing a 2-digit number?
(v) drawing a number which is a multiple of 10?
Answers
Numbers from 1 to 20 are written on 20 separate slips. The slips are put into a box and mixed thoroughly. One slip is drawn from the box randomly.
What is the probability of
i) Drawing an even number
➟ Total outcomes = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
➟ Favourable outcomes = 2,4,6,8,10,12,14,16,18,20
➟ Probability = Favourable outcomes/Total outcomes
➟ 10/20
➟ 1/2
ii) Drawing a prime number
➟ Total outcomes = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
➟ Favourable outcomes = 2,3,5,7,11,13,17,19
➟ Probability = Favourable outcomes/Total outcomes
➟ 8/20
➟ 2/5
iii) Drawing a number greater than 15
➟ Total outcomes = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
➟ Favourable outcomes = 16,17,18,19,20
➟ Probability = Favourable outcomes/Total outcomes
➟ 5/20
➟ 1/4
iv) Drawing a two digit number
➟ Total outcomes = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
➟ Favourable outcomes = 10,11,12,13,14,15,16,17,18,19,20
➟ Probability = Favourable outcomes/Total outcomes
➟ 11/20
v) Drawing a number which is a multiple of 10
➟ Total outcomes = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
➟ Favourable outcomes = 10,20
➟ Probability = Favourable outcomes/Total outcomes
➟ 2/20
➟ 1/10
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