Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability that the cards are marked with (i)a prime number (ii)an even number (iii)a number multiple of 5 (iv)a number divisible by 6 and (v)a number 4.
Answers
Given : Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box.
To Find : probability that the cards are marked with
(i)a prime number
(ii)an even number
(iii)a number multiple of 5
(iv)a number divisible by 6
(v)a number 4.
Solution:
Cards are marked with numbers 1 to 25
=> n(S) =25
Prime Number - 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23
= 9
Probability prime number = 9/25 =0.36
an even number
2 , 4 , 6 ...................................., 22 , 24
= 12
Probability even number = 12/25 = 0.48
a number multiple of 5
5 , 10 , 15 , 20 , 25
Probability a number multiple of 5 = 5/25 = 0.2
Divisible by 6
6 , 12 , 18 , 24
Probability
Divisible by 6 = 4/25 = 0.16
Probability number 4 = 1/25 = 0.04
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Answer:
12 by 25
Step-by-step explanation:
is the correct answer