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. Answer the following questions (Q4-013)
4.
That is the
4. What is the probability of getting a number 5?
(
bo
5. What ist
5. What is the probability of geling a number less than 11
(6)
Ad is the
6. What is the probability of getting a number greater than 257
(all
(b) 0
6.
in 1
7. What is the probability of getting a multiple of 5?
7.
in
(a) 1
(6) o
8. What is the probability of getting an even number
(b) 0
9. What is the probability of getting an odd number
(b) 0
10. What is the probability of getting a prime number?
ba
Answers
Answer:
Step-by-step explanation:
4. 1/25
5. 10/25
6. 0
7. 5/25
8. 12/25
9. 13/25
Given,
A box contains cards numbered from 1 to 25.
To find,
The probability of getting a number 5, a number less than 11, a number greater than 25, a multiple of 5, an even number, an odd number and a prime number.
Solution,
The probability of getting a number 5 will be 1/25, a number less than 11 will be 2/5, a number greater than 25 will be 0, a multiple of 5 will be 1/5, an even number will be 12/25, an odd number will be 13/25 and a prime number will be 9/25.
We can easily solve this problem by following the given steps.
Now, the cards in the box are 1,2,3,4, ---, 25.
So, the total number of cards in the box are 25.
We know,
Probability = Number of favourable outcomes/total number of outcomes
(4) Now, the card with the number 5 is 1.
Probability of getting a number 5 = Number of cards having 5/total number of cards
Probability of getting a number 5 = 1/25
(5) Now, the cards having a number less than 11 are 1,2,3,4,5,6,7,8,9, and 10.
So, the total numbers are 10.
Probability of getting a number less than 11 = Number of cards having a number less than 11/total number of cards
Probability of getting a number less than 11 = 10/25
Probability of getting a number less than 11 = 2/5
(6) Now, the cards having a number greater than 25 are 0.
Probability of getting a number greater than 25 = Number of cards having a number greater than 25/total number of cards
Probability of getting a number greater than 25 = 0/25
Probability of getting a number greater than 25 = 0
(7) Now, the cards having a number that is multiple of 5 are 5,10,15,20 and 25.
So, the total number of cards are 5.
Probability of getting a multiple of 5 = Number of cards having a multiple of 5/total number of cards
Probability of getting a multiple of 5 = 5/25
Probability of getting a multiple of 5 = 1/5
(8) Now, the cards having an even number are 2,4,6,8,10,12,14,16,18,20,22 and 24.
So, the total number of cards are 12.
Probability of getting an even number = Number of cards having an even number/total number of cards
Probability of getting an even number = 12/25
(9) Now, the cards having an odd number are 1,3,5,7,9,11,13,15,17,19,21,23 and 25.
So, the total number of cards are 13.
Probability of getting an odd number = Number of cards having an odd number/total number of cards
Probability of getting an odd number = 13/25
(10) Now, the cards having a prime number are 1,3,5,7,11,13,17,19 and 23.
So, the total number of cards are 9.
Probability of getting a prime number = Number of cards having a prime number/total number of cards
Probability of getting a prime number = 9/25
Hence, the probability of getting a number 5 is 1/25, a number less than 11 is 2/5, a number greater than 25 is 0, a multiple of 5 is 1/5, an even number is 12/25, an odd number is 13/25 and a prime number is 9/25.