Explanation

P(M)=pass in maths P(E)=pass in English P(E and M)= passing in both English and Maths Given P(E)=60%=0.6 P(E and M)=54%=0.54 M and E both events are independent then: P(E and M)=P(E)*P(M) P(M)=P(E and M)/P(E) P(M)=0.54/0.60=0.9 P(M!)= fail in maths P(M!)=1-p(M):(complement) P(M!)=1-0.9=0.1 P(M!)=10%

Explanation

To find the average of the numbers 61, 74, 76, 80, and 82, follow these steps:

1: Add the numbers together:

61+74+76+80+82=373

2: Count the total number of numbers:

There are 5 numbers in the list.

3: Divide the sum by the total number of numbers:

373 /5 = 74.6

Explanation

To find the total amount of money that the person and his friend have when combined, we need to add their individual amounts.

1. Add the amount of money the person has to the amount his friend has:

- The person has 6 rupees.

- His friend has 4 rupees.

- Add these amounts together: 6 + 4 = 10 rupees.

2. The combined amount of money that the person and his friend have is 10 rupees.

Therefore, when the person and his friend's money is combined, they have 10 rupees.

Explanation

Original price of gift pack = Rs.80

Discount% = 15%

So, discount =

                  =

                 =12

So, discounted price = original price - Discount = 80-12=68

Hence The sale price is Rs.68

AGM 07.5.23

Explanation

Time is taken by 28 men to finish the work = 15 days

Time taken by a man to finish the work = 15 × 28 days

Time taken by 21 men = (15 × 28) ÷ 21

                                       = 420 ÷ 21

Explanation

The ratio of boys to girls is 3:2

The number of the boys = 3x

The number of girls =2x

The number of boys + the number of girls = the total no. of students

3x + 2x = 80

The equation for x is 

5x = 80

X = 80 / 5

X = 16

Explanation

3 * 100 + 5 * 150 = 1050

1500 – 1050 = 450

Explanation

Sum of all the 13 numbers = 13 * 60 = 780

Sum of the first 7 of them = 7 * 57 = 399

Sum of the last 7 of them = 7 * 61 = 427

So, the 8th number = 427 + 399 – 780 = 46

ND11-4-2023

Explanation

Age of the 15th student=

[15 * 15 – (14 * 5 + 16 * 9)] = (225 – 214) = 11 years

Explanation

1. Count the number of desired outcomes:

- There are 7 red balls.

- There are 9 green balls.

- There are 8 white balls.

- Add these numbers together: 7 + 9 + 8 = 24 desired outcomes.

2. Count the total number of possible outcomes:

- There are 7 red balls.

- There are 8 white balls.

- There are 9 green balls.

- Add these numbers together: 7 + 8 + 9 = 24 possible outcomes.

3. Calculate the probability by dividing the number of desired outcomes by the total number of possible outcomes:

- Probability = Number of desired outcomes / Total number of possible outcomes

- Probability = 24 / 24 = 1

Therefore, the probability of pulling out a red, green, or white ball from the bag is 1, or 100%.