Example: A (pseudo) random number generator on the computer can give a sequence of independent random digits chosen from S = {0, 1,...,9}. This means that (i) each digit has probability of of being any of 0, 1,...,9, and (ii) the outcomes for the different trials are independent of one another. We call this type of setting an "experiment with independent trials". Determine the probability that (a) in a sequence of 5 trials, all the digits generated are odd (b) the number 9 occurs for the first time on trial 10.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Example: A (pseudo) random number generator on the computer can give a sequence of independent
random digits chosen from S = {0, 1,...,9}. This means that (i) each digit has probability of of
being any of 0, 1,..., 9, and (ii) the outcomes for the different trials are independent of one another.
We call this type of setting an "experiment with independent trials". Determine the probability that
(a) in a sequence of 5 trials, all the digits generated are odd
(b) the number 9 occurs for the first time on trial 10.
Transcribed Image Text:Example: A (pseudo) random number generator on the computer can give a sequence of independent random digits chosen from S = {0, 1,...,9}. This means that (i) each digit has probability of of being any of 0, 1,..., 9, and (ii) the outcomes for the different trials are independent of one another. We call this type of setting an "experiment with independent trials". Determine the probability that (a) in a sequence of 5 trials, all the digits generated are odd (b) the number 9 occurs for the first time on trial 10.
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