A card is drawn at random from a standard 52-card deck. Events G and HareG= the drawn card is blackH = the drawn card is divisible by 4 (face cards are not valued).4(A) Find P(HIG).(B) Test H and G for independence.(A) P(HIG) = (Type an integer or a fraction.)

Ans#- A card is drawn at random from a standard 52 -card deck. Given Event G and H are…

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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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Experiment: Selecting a single card from a standard playing deck. Which has 4 suits (Hearts, Clubs, Spades, and Diamonds) and 13 Cards per suit (2-10, Jack, Queen, King, Ace) . So there are a total of 52 cards. Event A = Pulling an even number card (2,4,6,8,10) Event B = Pulling a Diamond Card Event C = Pulling a Face Card (Jack, Queen, King) All answers should be represented as a proportion: Round all answers to 4 decimal places Calculate P(A) - 0.3846 Calculate P(B) - 0.2500 Calculate P(B ∩ Cc) - 0.1923 Calculate P(A ∩ C) Calculate P(A ∪ B) Calculate P(C ∪ Ac) Calculate P(C | B) Calculate P(A | C) Event A is independent of Event B Event B is independent of Event A
A gambler belives that he has learned to predict the color of a card befroe it is drawn from the deck. In order to test this, he predicts a color, draws a card from a fresh deck of 52 cards and observes its color, replaces the card, and then shuffles.He repeats this process 10 times, and finds that he got 5 predictions incorrect.Using a sign test, test the hypothesis that the gambler is getting fewer predictions inccorect than one would expect due to chance.Critical Value = ?

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A card is drawn at random from a standard 52-card deck. Events G and Hare G= the drawn card is black H = the drawn card is divisible by 4 (face cards are not valued). (A) Find P(HIG). (B) Test H and G for independence.