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Q. What is the probability of getting a Royal Flush?
Ans.
Five cards are picked from a standard deck of 52 cards. How many different hands of five cards are possible? What is the probability of getting a Royal Flush?
Solution: We are choosing 5 objects, r = 5, from 52, n = 52, and we are not interested in the order in which they are picked. Thus, the number of different hands is
There are over 2 million possible hands!
A Royal Flush is a set of five cards: 10, Jack, Queen, King and Ace, all the same suit. Since there are 4 suits, there are only 4 possible Royal Flush hands. Thus,
That is very small! The length of a typical bacterium is about , the same order of magnitude!
Find the acute angle theta that satisfies the given equation. Give theta in both degrees and radians. You should do these problems without a calculator. Sin= sqroot3/2
application
what is tangent
Derivatives of Inverse Trig Functions : Now, we will look at the derivatives of the inverse trig functions. To derive the derivatives of inverse trig functions we'll required t
Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi
Justin weighed 8 lb 12 oz while he was born. At his two-week check-up, he had gained 8 ounces. What was his weight within pounds and ounces? There are 16 ounces within a pound.
Derivative for the trig function: We'll begin with finding the derivative of the sine function. To do this we will have to utilize the definition of the derivative. It's been wher
Q4. Assume that the distance that a car runs on one liter of petrol varies inversely as the square of the speed at which it is driven. It gives a run of 25km per liter at a speed o
A rescue and ?re squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach? a. 8
Demonstrate that Dijkstra's algorithm does not necessarily work if some of the costs are negative by finding a digraph with negative costs (but no negative cost dicircuits) for whi
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