SOLUTION: Please help me on this probability problem. To raise money the music club has set up a lottery using 2 digit numbers. The first digit will be from 1 to 4. The second digit will

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Question 36314This question is from textbook Algebra 1
: Please help me on this probability problem. To raise money the music club has set up a lottery using 2 digit numbers. The first digit will be from 1 to 4. The second digit will be from 3 to 8. Trudy's first digit is 2 and she can't remember the second digit. If only one two digit lottery winner is drawn, and that number has a 2 for the first digit, what is the probability that Trudy will win? I tried and got no where with this one. This question is from textbook Algebra 1

Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
SEEING AS SHE HAS THE FIRST NUMBER HER ODDS ARE NOW 1 IN 6 CHANCES OF MATCHING HER SECOND NUMBER 1/6 OR HER SUCCESSES ARE 1 OUT OF A TOTAL SET OF 7 NUMBERS.
1/6=16 2/3% OF WINNING.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
If the winning number has a "2" as its 1st digit,
and Trudy has selected a "2" as her 1st digit,
Judy will win if her 2nd digit matches the 2nd
digit of the winning number.
The 2nd digit can only be 6 different digits.
So the probability that Trudy will win is 1/6.
Cheers,
Stan H.