If A and B are said to be mutually exclusive events then the probability of an event A occurring or the probability of event B occurring is given as P(A) + P(B), i.e.,

P (A or B) = P(A) + .....

Two events A and B are said to be mutually non exclusive events if both the events A and B have atleast one common outcome between them. The events A and B cannot prevent the occurrence of one another .....

If the occurrence of one event excludes the occurrence of another event, such events are mutually exclusive events i.e. two events don’t have any common point. For example, if S = {1 , 2 , 3 , 4 , 5 , 6} and E1, E2 are two .....

If the occurrence of any event is completely unaffected by the occurrence of any other event, such events are known as an independent event in probability and the events which are affected by other events are known as dependent .....

A set of events is called exhaustive if all the events together consume the entire sample .....

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample .....

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Klinefelter Syndrome (47, XXY) is a chromosomal variation in males in which one extra X chromosome is present, resulting in a XXY sex chromosome karyotype. The extra X chromosome can affect physical, developmental, behavioral, and cognitive .....

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Here,  Amount of bill or Marked price (MP) = Rs. 1800 Discount percent (D%) = 5% Discount amount (D) = ? Selling price (SP) = ? We have,                 D = D% of MP       .....

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Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most .....

An atomic clock is an extremely accurate type of clock which is regulated by the vibrations of an atomic or molecular system such as caesium or ammonia. They are .....

Development :-  We all are living in a society. We can see lots of positive as well as negative changes around us. Lets take the example of Kathmandu valley.  The roads are being extended. The pipelines for water are being .....

Bhimsen Thapa is known as the first prime minister of Nepal. He was a great warrior and administrator. He fought a battle against the British. He contributed to the economic and military growth of .....

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Here,  Amount of bill or Marked price (MP) = Rs. 1800 Discount percent (D%) = 5% Discount amount (D) = ? Selling price (SP) = ? We have,                 D = D% of MP       .....

Solution : Tan 45 = AB / BC or, 1 = AB / 20 or, AB = 20 m Again, Sin 45 = AB / AC or, √3 / 2 = 20 / AC or, AC = 40 / √3 .....

Solution: Let total income be x. Expenditure = 75% Saving = 100 - 75 = 25 % or, 1875 = 25% of x or, 1875 = 25x/100 or, x = Rs.7,500 Again, Expenditure = 75 % of Rs.7500 = 75/100 * 7500 = Rs. .....

Here is similar question. You can proceed in the same .....

You can proceed on the same way as in example below .....

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Solution : let breadth b = x and, length l = x + 3 area a = 88 cm2 or, (x+3)x = 88 or, x2 + 3x - 88 = 0 or, x2 + 11x - 8x - 88 = 0 or, x(x+11) - 8(x+11) = 0 or, (x+11) (x-8) = 0 so, x-8 = 0, x = 8 Then, breath b = 8 cm and length l = 8 .....

Solution: Let length  l = x and breadth b = x - 10 Area A = 336 or, l x b = 336 or, x ( x - 10 ) = 336 or, x2 - 10x - 336 = 0 or, x2 - 24x + 14x - 336 = 0 or, x ( x - 24 ) + 14 ( x - 24) = 0 or, ( x + 14) ( x - 24) = 0 so, x = .....

Solution : Let the ages of father be x and son be y. 1st case : (x+1) = 5(y+ 1 )  x + 1 = 5y + 5 x - 5y = 5 - 1 x - 5y = 4 x = 5y + 4.........1 2nd case : x.y = 145 or, (5y + 4 ) y = 145 or, 5y2 + 4y - 145 = 0 or, 5y2 + 29y - 25y - .....

Let present age of Sunayana be S and that of Bishwant be B. 1st condition: B - S = 7 or, B = S + 7 ...... 1 2nd Condition : S.B = 144 .....2 or, S ( S + 7 ) = 144 or, S2 + 7S = 144 or, S2 + 7S - 144 = 0 or, S2 + 16S - 9S - 144 = 0 or, S ( S .....

Solution : Let the ages of two sisters be x and y . 1st condition : x - y = 5 or, x = y + 5 ..... 1 2nd condtion : x.y = 204 or, (y + 5 ) y = 204 or, y2 + 5y - 204 = 0 or, y2 + 17y - 12y - 204 = 0 or, y ( y + 17 ) - 12 ( y + 17) = 0 or, ( .....

Solution : Let the two digit number be 10x + y. 1st condition : x.y = 24 2nd condition : 10x + y + 45  = 10y + x or, 10x + y - 10y - x = -45 or, 9x - 9y = -45 or, x - y = -5 or, x = y - 5 Then from 1, or, ( y - 5 ) y = 24 or, y2 - .....

Solution : Let a number be x. Then, x + x2 = 72 or, x2 + x - 72 = 0 or, x2 + 9x - 8x - 72 = 0 or, x (x + 9) - 8 ( x + 9) = 0 or, (x + 9) (x - 8) = 0 or, x = 8 or -9. Thus, the number is 8 or .....

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Since, CP = SP - g% of SP = .....

Let, a and b be required two numbers. According to question,  a + b = 21 Or a = 21 - b  ............ (i) And    a2 + b2 = 261 ............ (ii) From (i) and (ii) or, (21 - b)2 + b2 = 261  or, 441 - 42b + b2 + b2 .....

Solution : Let two numbers be x and y. Then, 1st condition : x + y = 10 x = 10 - y and, xy = 24 or, ( 10 - y ) y = 24 or, 10y - y2 = 24 or, y2 - 10y + 24 = 0 or, y2 - 6y - 4y + 24 = 0 or, y(y-6) -4(y-6) = 0 or, (y-6)(y-4) = 0 So, if y - 6 .....

The full form of IQ is intelligence quotient .....