Textbook ExpertVerified Tutor
25 Oct 2021
Given information
A special deck of cards has ten cards. Four are green, three are blue, and three are red. When a card is picked, its color
of it is recorded. An experiment consists of first picking a card and then tossing a coin.
Step-by-step explanation
Step 1.
The Probability of an event is defined as
In this Experiment first picking a card and then tossing a coin is involved.
Since the sample space consists of all the possible outcomes.
Therefore, sample space is defined as
,
.
Let be the event that a blue card is picked first, followed by a head on the coin toss, be the event that a red or blue is picked, followed by a head on the coin toss
,
Observe that these two events have an event in common.
Therefore, the events and are not mutually exclusive.
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