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Please help to solve this and explain answers in details. Thank you!   An urn holds 10 red and 6 green marbles. A fair coin is tossed. If we get heads, two marbles are selected from the urn. Otherwise three marbles are selected. If we have only reds, what is the probability that we selected exactly two marbles?

Please help to solve this and explain answers in details. Thank you!   An urn holds 10 red and 6 green marbles. A fair coin is tossed. If we get heads, two marbles are selected from the urn. Otherwise three marbles are selected. If we have only reds, what is the probability that we selected exactly two marbles?

A First Course in Probability (10th Edition)
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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Please help to solve this and explain answers in details. Thank you!

 

An urn holds 10 red and 6 green marbles. A fair coin is tossed. If we get heads, two marbles are selected from the
urn. Otherwise three marbles are selected.
If we have only reds, what is the probability that we selected exactly two marbles?

Expert Solution
Step 1: Introduce the given information

From the given information,

No.of red marbles , n(red) = 10

No.of green marbles , n(green) = 6

Total number of marbles , n(T) = 16

Using formula ,

P open parentheses A vertical line B close parentheses equals fraction numerator P left parenthesis A space a n d space B right parenthesis over denominator P left parenthesis B right parenthesis end fraction

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