rther Practice Questions In a popular weekly number game, a computer generates a combination of 6 different numbers that can be any number from 1 to 15. A player places a stake for a choice of 6 different numbers from 1 to 15. He wins the game if he gets at least four of the numbers correct. Let X be the number of correct answers he has chosen. The distribution of Xis illustrated in the table below. X P(X=x) 0 12 715 1 108 715 2 3 4 5 6 Copy and complete the probability distribution table of X. Hence find the probability of winning the game. Given that a player has won the game, what is the probability that he wins with five numbers? (Give all the probabilities in terms of fractions in their lowest terms.)

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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urther Practice Questions
In a popular weekly number game, a computer generates a combination of 6 different numbers
that can be any number from 1 to 15. A player places a stake for a choice of 6 different numbers
from 1 to 15. He wins the game if he gets at least four of the numbers correct. Let X be the
number of correct answers he has chosen.
The distribution of X is illustrated in the table below.
X
P(X=x)
0
12
715
1
108
715
2
National Junior College
3
4
5
6
Copy and complete the probability distribution table of X.
Hence find the probability of winning the game.
Given that a player has won the game, what is the probability that he wins with five numbers?
(Give all the probabilities in terms of fractions in their lowest terms.)
Transcribed Image Text:urther Practice Questions In a popular weekly number game, a computer generates a combination of 6 different numbers that can be any number from 1 to 15. A player places a stake for a choice of 6 different numbers from 1 to 15. He wins the game if he gets at least four of the numbers correct. Let X be the number of correct answers he has chosen. The distribution of X is illustrated in the table below. X P(X=x) 0 12 715 1 108 715 2 National Junior College 3 4 5 6 Copy and complete the probability distribution table of X. Hence find the probability of winning the game. Given that a player has won the game, what is the probability that he wins with five numbers? (Give all the probabilities in terms of fractions in their lowest terms.)
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