Which of the following is a false statement?a) If two events are dependent, the probability of one event effects theprobability of the otherO b)If one event is dependent on another, then the second event depends directlyon the outcome of the first event.c)If two events are independent, the probability of one event has no effect onthe probability of the other.d) If two events are dependent, they cannot occur together.

Dependent events are those , first events probability affect the probability of other event in…

Answered: Which of the following is a false…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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question 7
Which of the following statements is the contrapositive of the statement, "You win the game if you know the rules but are not overconfident." Select one: a. A necessary condition that you know the rules or you are not overconfident is that you win the game. O b. If you know the rules and are overconfident then you win the game. O c. A sufficient condition that you win the game is that you know the rules or you are not overconfident. O d. If you lose the game then you don't know the rules or you are overconfident. Oe. If you don't know the rules or are overconfident you lose the game.
write the contrapositive of: “if the earth is red, then the sky is black."
A conditional is a statement that contains a conjecture. O True O False
Suppose that the given statements are true. Find the other true statements. (a) Given: If the window is above the door, then Austin's cousin is a girl. Which statement must also be true? - If Austin's cousin is a girl, then the window is above the door. - If Austin's cousin is not a girl, then the window is not above the door. - If the window is not above the door, then Austin's cousin is not a girl. (b) Given: If the bike is fast, then Rachel sleeps on the floor. The bike is fast. Which statement must also be true? - The bike is not fast. - Rachel sleeps on the floor. - Rachel does not sleep on the floor. (c) Given: If David knows how to dance, then the tires are old. If the tires are old, then my favorite movie is being shown. Which statement must also be true? - If my favorite movie is being shown, then the tires are old. - If David knows how to dance, then my favorite movie is being shown. - If my favorite movie is being shown, then David knows how to…
6. Fill in the blank with "all", "no", or “some" to make the following statements true. Note that "some" means one or more instances, but not all. • If your answer is "all", then give a brief explanation as to why. If your answer is "no", then give an example and a brief explanation as to why. • If your answer is "some", then give two specific examples that illustrate why your answer it not "all" or "no". Be sure to explain your two examples. An example must include either a graph or a specific function. (a) For (a, b). functions f, if f"(x) > 0 on the interval (a, b), then f'(x) < 0 on the interval (b) For functions f, if f(x) is a polynomial, then it is differentiable for all x. (c) For f(x) at exactly one point. functions f, the tangent line to f(x) at x = a will intersect the graph of In mathematics, we consider a statement to be false if we can find any examples where the statement is not true. We refer to these examples as counterexamples. Note that a counterexample is an example…
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