Solution Found!
Assuming That Probability Has a “Memory” A “Daily Number”
Chapter 3, Problem 1UAE(choose chapter or problem)
A “Daily Number” lottery has a three-digit number from 000 to 999. You buy one ticket each day. Your number is 389.
(a) What is the probability of winning next Tuesday and Wednesday?
(b) You won on Tuesday. What is the probability of winning on Wednesday?
(c) You did not win on Tuesday. What is the probability of winning on Wednesday?
Questions & Answers
QUESTION:
A “Daily Number” lottery has a three-digit number from 000 to 999. You buy one ticket each day. Your number is 389.
(a) What is the probability of winning next Tuesday and Wednesday?
(b) You won on Tuesday. What is the probability of winning on Wednesday?
(c) You did not win on Tuesday. What is the probability of winning on Wednesday?
ANSWER:
Step 1 of 3
Given that the daily number lottery has a three digit number from 000 to 999
The total no.of three digit number is 1000
Probability of winning a lottery is \(\frac{1}{1000}\)
a) We have to find the probability of winning next tuesday and wednesday
Now,
\(\begin{array}{l} P(\text { winning next tuesday and wednesday })=P(\text { winning on tuesday }) \times \\ \qquad \begin{array}{l} P(\text { winning on wednesday }) \\ =\frac{1}{1000} \times \frac{1}{1000} \\ =0.000001 \end{array} \end{array}\)
Hence the probability of winning next tuesday and wednesday is 0.000001