Question

Cards marked with the number 2to101 are placed in a Box and mixed thoroughly. One card is drawn
from this box. Find the probability that the number on the card is:
(i) a prime number less than 40
(ii) A number division by 4 or 5 (iii) number divisible by 4 and 5

Answer 1

Answer:

1. P(E) = 0.12
2. P(E) = 0.4
3. P(E) = 0.2

Step-by-step explanation:

Total outcomes = 100

Probability that the number on the card is:

(i) a prime number less than 40

=> Prime numbers less than 40 = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

i.e., 12 numbers or 12 favourable outcomes.

P(E) = 12/100 = 0.12

(ii) a number divisible by 4 or 5

=> Numbers divisible by 4 = 25 numbers

=> Numbers divisible by 5 = 20 numbers

=> Numbers divisible by both 4 and 5 = 5 numbers(20, 40, 60, 80, 100)

i.e. 45(25+20) - 5 = 40 numbers or 40 favourable outcomes.

P(E) = 40/100 = 0.4

(iii) a number divisible by 4 and 5

=> Numbers divisible by both 4 and 5 = 5 numbers(20, 40, 60, 80, 100)

i.e. 5 numbers or 5 favourable outcomes.

P(E) = 20/100 = 0.2

HOPE IT HELPS!!!!

Answer 2

Answer:

....................

.

.

.

.

.

♥️