SOLUTION: Suppose that you purchase a lottery ticket that contains two numbers and a letter, such as
3 7 9
Alright this is what i have so far for #15
A. What is the probabili
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Question 84937This question is from textbook Elementary Statistics in Social Statistics
: Suppose that you purchase a lottery ticket that contains two numbers and a letter, such as
3 7 9
Alright this is what i have so far for #15
A. What is the probability that you match the first?
37P
3P7
73P
7P3
P73
P37
18 chances
So it has two chances of being first.
P= number of times the out come or events can occur
2 divided by 18=.11
B. What is the probability that you match the second digit?
Same thing 18 chances
2 divided by 18=.11
C. What is the probability that you do not match the first digit?
17 divided by 18 =.88 or rounded .89
D. What is the probability that you match both the first and the second digits?
.89 is the answer but i don't know how to get it. please show me the formula.
E.What is the probability that you match the letter?
1 chance divided by 26 letters in the alphabet = .038 or rounded .04
F. What is the probability of a perfect match (both the digits and the letter)?
not sure how to get this one either. please show me the work and the formula
This question is from textbook Elementary Statistics in Social Statistics
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Prob of matching 1st digit; 1/10
Prob of matching 2nd digit: 1/10
Prob of matching letter: 1/26
Prob of matching two digits: 1/10 * 1/10 = 1/100
Prob of matching two digits and the letter: 1/100 * 1/26 = 1/2600
===========
Each event is independent so you multiply the probabilities of each
of the pieces to get the probility of the whole pattern.
---------
Cheers,
Stan H.
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