In an experiment, a ball is drawn from an urn containing 13 blue balls and 7 ora

Question

In an experiment, a ball is drawn from an urn containing 13 blue balls and 7 orange balls. If the ball is blue, three coins are tossed. Otherwise two coins are tossed.

How many elements of the sample space will have a blue ball ?

How many elements of the sample space are there altogether ?

In an experiment, a fair coin is tossed 14 times and the face that appears is recorded.

How many elements of the sample space will have no tails ?

How many elements of the sample space will have exactly one tail ?

How many elements of the sample space will start and end with different faces and have a total of exactly two tails ?

How many elements of the sample space will start and end with a tail with a total of exactly three tails ?

Explanation / Answer

If the ball is blue, then there are 8 outcomes for the 3 coins (2^3 = 8)
If the ball is yellow, then there are 4 outcomes for the 2 coins (2^2 = 4)

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