1. A bag contains marbles of different colours. 30 % of them are blue and 40 % are green. You take one marble randomly from the bag, return it to the bag, then take another one. What is the probability that both marbles are green or both marbles are blue? 2. Event A occurs with the probability of 0.2 and event B with the probability of 0.7. The two events are independent. What is the probability that neither event will occur? 3. The ice hockey player Marko Anttila scores a goal with each penalty shot at the same probability of 60%. He makes four penalty shots in a row. What is the probability that he scores exactly two goals? 4. In the previous question, what is the expected value of goals?

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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1. A bag contains marbles of different colours. 30
% of them are blue and 40 % are green. You take
one marble randomly from the bag, return it to the
bag, then take another one. What is the
probability that both marbles are green or both
marbles are blue?
2. Event A occurs with the probability of 0.2 and
event B with the probability of 0.7. The two events
are independent. What is the probability that
neither event will occur?
3. The ice hockey player Marko Anttila scores a
goal with each penalty shot at the same
probability of 60%. He makes four penalty shots
in a row. What is the probability that he scores
exactly two goals?
4. In the previous question, what is the expected
value of goals?
Transcribed Image Text:1. A bag contains marbles of different colours. 30 % of them are blue and 40 % are green. You take one marble randomly from the bag, return it to the bag, then take another one. What is the probability that both marbles are green or both marbles are blue? 2. Event A occurs with the probability of 0.2 and event B with the probability of 0.7. The two events are independent. What is the probability that neither event will occur? 3. The ice hockey player Marko Anttila scores a goal with each penalty shot at the same probability of 60%. He makes four penalty shots in a row. What is the probability that he scores exactly two goals? 4. In the previous question, what is the expected value of goals?
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