If you take all the possible 5 card draws, and multiply that by the probability all 5 cards are hearts, the result is all the possible 5 heart draws.

The number of ways to draw 5 cards from 52 is a combination...52C5. Remember the formula for combinations:

nCk = n! / (k! * (n-k)!. In this case n=52 and k=5:

52!/(5!*(52-5)!)= 52!/(5!*47!) = (52*51*50*49*48)/(5*4*3*2*1) = 2,598,960.

That's the total number of five-card combinations. But what is the probability that all five cards are hearts? There are 13 hearts in the deck of 52 cards.

P card 1 being a heart is 13/52.

<span>P card 2 being a heart (there are one less card and one less heart) is 12/51

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<span>P card 3: 11/50

P card 4: 10/49

P card 5: 9/48

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The probability of all five events is the product of their probabilities:

13/52 * 12/51 * 11/50 * 10/49 * 9/48 = 0.000495198079231693.

The number of combinations of five cards, times the probability of all five hearts, gives us the answer we want.

0.000495198079231693*2,598,960=1,287.

=(x^2+2x+1)(x-6)

=(x^3+2x^2+x-6x^2-12x-6)

=x^3-4x^2-11x-6

Answer: 30

You find the difference and put this over the original price ie. 25-20=5. 5/20= 0.25 so the increase is 25%

24x 0.25= 6

6+24=£30

(Or 24x1.25=30)