Solution:

There is a chance of 1/3 to be its best in all the shots. The reason for this is that the shots do not depend on the shot that is made earlier. The chance for the third shot to be its best is 1 minus the chance that the last shot is the best shot. Therefore the answer for this question is 2/3.
There are also other possibilities. There are three arrows A, B, and C. the B arrow is away from the arrow A. so after the shot A the following will be the outcome or the possibility with the shots.
Best shots: A, A, C
Worst shots: C, B, B
From all the three outcomes, the arrow C is worse than the arrow A.

Solution:

{a +b +abs (a-b)}/2
It is shown that {a +b-abs (a-b)}/2 is < {a, b}

Solution:

Charlie will be able to buy 22 chocolates.

Explanation:
The cost of each chocolate is rs.3 and Charlie has rs.45. He buys 15 chocolates with them. Since there is an offer and the scheme, he returns 15 wrappers and he gets 5 chocolates in return for free. Again he returns 3 wrappers and gets another chocolate free. Again he uses that one wrapper with the other two and gets another chocolate. So all together it is 22 chocolates.

Solution:

The best way to increase the probability of winning is to place one yellow ball in the first bowl and all the other balls in the second bowl.

Now, you have a 1/2 probability of choosing the bowl with just one yellow ball. If you choose that, you win.

If you choose the other bowl, it has 49 yellow balls and 50 white balls. You still have almost 1/2 probability of picking a yellow ball out of it and winning.

Solution:

Both S and T are of same height because they are the same people.

Suppose that each person is marked with their respective number which also denotes their height.
Now when the longest from each row is called out, they will be 50, 100, 150 ... 500. Shortest among them will be 50 aka S.
When the shortest from each colum is called out, they will be 1, 2, 3, ....50. Longest among them will be 50 aka T.

Thus, they both are same person.

Solution:

19

Explanation:
The children can purchase 19 chocolates in return.

Out of 77 wrappers, 75 will be used to buy 15 chocolates and two will be left spare.
The 15 chocolates will create 15 empty wrappers that can be exchanged to get three chocolates.
Three chocolates will return three wrappers which will help them buy another chocolate.
Now the wrapper from this chocolate and the two spare that were left earlier will get them another chocolate.
15 + 3 + 1 = 19

Solution:

74658

* 8 + 6 =14
* 5 - 4 = 1
* 7 = 2*4 - 1
* 4 + 6 = 10
* 7+4+6+5+8 = 30

Solution:

Since Jasmine and Thibault ate equal amount, they should pay the same amount. But since that's not possible, they can decide with 'rock, paper, scissor' or an equivalent measure to determine who will pay the extra dollar. Now, let's assume tha Jasmine pays $1 extra after losing

Jasmine will pay $5, Thibault will pay $4 and Noah will pay $2.

If the pizza's cost was $11, we can simply keep the same offset and divide. Jasmine is paying 6% more, Thibault is paying 15% more and Noah is paying 27% more.
Keeping the offset same both Jasmine and Thibault will pay $5 each and Noah will pay $1.

Solution:

3 3/4 hours

Explanation:
Suppose that the amount of petrol in each of the cars in the beginning was M.
Now, suppose that they drove for X hours.

In that case, the amount of petrol used by one car in X hours will be = M*X /4
The amount of petrol used by the other car will be = M*X/5

Therefore, the petrol left in one car = M - M*X / 4
Petrol left in the other car = M - M*X / 5

Now, according to the question,
M - M*X / 5 = 4 (M - M*X / 4)
=> X = 15 / 4 = 3 3/4 hours.

Therefore Murphy and Cooper drove for 3 3/4 hours.

Solution:

Q>P

Explanation:
P = 60 * 60 * 24 seconds = 86, 400 seconds.
Q = (8 * 365 *24) + (2 * 366 *24) hours = 87, 648 hours

Therefore, Q is greater than P. If the leap years were not counted, results would have been different.