one ticket is drawn at random from a bag containing 20 tickets numbered 1 to 20 . find the probability that the number on the ticket is (a)the prime number (b)multiple of 4 (c)divisible by 5
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Given,
Total number of tickets = 20
To Find,
Probability of getting the prime number =?
Probability of getting a number multiple of 4 =?
Probability of getting a number divisible by 5 =?
Solution,
Total possible outcomes = 20
We know the formula of probability that is
Probability = Number of favorable outcomes / Total outcomes
Number of prime numbers between 1 - 20 = 8
Probability of getting a prime number = 8 / 20 = 2 / 5
Numbers that are multiples of 4 between 1 - 20 = 5
Probability of getting a number multiple of 4 = 5 / 20 = 1 / 4
Numbers that are divisible by 5 between 1 - 20 = 4
Probability of getting a number divisible by 5 = 4 / 20 = 1 / 5
Hence, the probability that the number on the ticket is the prime number, multiple of 4 and divisible by 5 is 2/5, 1/4, and 1/5 respectively.