A coin is tossed 4 times. We use H to denote heads and T to denote tails.
Fantastic news! We've Found the answer you've been seeking!
Question:
A coin is tossed 4 times. We use H to denote heads and T to denote tails. For instance, HTHH means we got the sequence heads, tails, heads, heads.
(a) Write down the elements of the sample space. Hint: Using a tree diagram can be helpful.
(b) List the outcomes included in each of the following events. Also compute the probabilities for each event. Assume that the coin is fair.
- Event A: Number of times the coin came up heads is 0.
- Event B: Number of times the coin came up heads is 1.
- Event C: The first two tosses came up heads.
- Event D: Number of times the coin came up heads is greater than 1.
(c) Answer YES or NO to the following questions:
- Are the events A and B mutually exclusive?
- Are the events B and C mutually exclusive?
- Are the events C and D mutually exclusive?
(d) Compute the probability P(A∪D).
(e) Compute the probability P(C ∪D).
Related Book For
John E Freunds Mathematical Statistics with Applications
ISBN: 978-0134995373
8th edition
Authors: Irwin Miller, Marylees Miller
Posted Date: