cards number 1 to 30 are put in a bag a card is drawn at random from the bag find on the drawn card is( not diviaible by a 3,)(a prime number greater than 7)(not a perfect square number)
Answers
Answer:
1. 2/3
2. 1/5
3. 8/15
Hope this will help you!
Answer:
1. 2/3
2. 1/5
3. 5/6
Step-by-step explanation:
probability of an event = number of favourable outcomes of the event / total number of possible outcomes
1. probability of getting a card not divisible by 3 = number of cards not divisible by 3 / total number of cards
numbers not divisible by 3 , from 1 to 30 are : 1, 2 , 4, 5 ,7 ,8 ,10 ,11 , 13, 14, 16, 17 ,19 ,20 ,22 ,23 ,25 ,26 ,28 ,29
so 20 numbers are not divisible by 3 from 1 to 30
there are 30 numbers from 1 to 30
so probability of getting a card not divisible by 3 = number of cards not divisible by 3 / total number of cards = 20/30 = 2/3
so probability of getting a card not divisible by 3 = 2/3
2. probability of getting a prime number greater than 7 = number of prime numbers greater than 7 / total numbers from 1 to 30
prime numbers greater than 7 are 11,13,17,19,23,29
number of prime numbers are 6
total numbers from 1 to 30 are 30
so probability of getting a prime number greater than 7 = number of prime numbers greater than 7 / total numbers from 1 to 30
= 6/30 = 1/5
so probability of getting a prime number greater than 7 = 1/5
3. probability of getting a number which is not perfect square = number of numbers which are not perfect square / total numbers from 1 to 30
numbers not perfect squares are 2, 3, 5 ,6 ,7 ,8 ,10 ,11 ,12 ,13 ,14 ,15 ,17 ,18 ,19 ,20 ,21 ,22 ,23 ,24 ,26 ,27 ,28 ,29 ,30
number of numbers which are not perfect square = 25
total numbers from 1 to 30 = 30
so probability of getting a number which is not perfect square = number of numbers which are not perfect square / total numbers from 1 to 30 = 25/30
= 5/6
so probability of getting a number which is not perfect square = 5/6