Question 1. A card is chosen from a deck of 52 cards. Let A be the event of all

Question

Question 1. A card is chosen from a deck of 52 cards. Let A be the event of all Jacks, Queens, or RED Aces and B be the event of a HEART or ACE card. Show the Contingency table and determine P ( A-Complement | B) where | means given or conditional probability. (Use Excel)

Question 2.

A game is played with 2 people. One person thinks of a whole number from 1 to 8 (including 1 and 8) and the other person tries to guess the number. They play the game 22 times. What is the probability that the person guesses the number INCORRECTLY at least 19 times of the 22 times the game is played? How many times should the game be played (disregard the 22 times above) such that you will be at least 71% certain that you will guess the number CORRECTLY at least 11 times?

Explanation / Answer

Number of Jacks=4, Queens=4, red aces=2, thus it is 10/52

P(A)=10/52, P(A')=42/52

Hearts=13 or Ace=4 and so P(B)=17/52, P(B')=35/52

P(A'|B)=13/17=0.7647

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