3.2 Exercise 16 — Introductory Business Statistics 2e

Toss one fair coin (the coin has two sides, H and T). The outcomes are ________. Count the outcomes. There are ____ outcomes.
Toss one fair, six-sided die (the die has 1, 2, 3, 4, 5 or 6 dots on a side). The outcomes are ________________. Count the outcomes. There are ___ outcomes.
Multiply the two numbers of outcomes. The answer is _______.
If you flip one fair coin and follow it with the toss of one fair, six-sided die, the answer to c is the number of outcomes (size of the sample space). What are the outcomes? (Hint: Two of the outcomes are H1 and T6.)
Event A = heads (H) on the coin followed by an even number (2, 4, 6) on the die.
A = {_________________}. Find P(A).
Event B = heads on the coin followed by a three on the die. B = {________}. Find P(B).
Are A and B mutually exclusive? (Hint: What is $P \left(A \cap B\right)$ ? If $P \left(A \cap B\right) = 0$ , then A and B are mutually exclusive.)
Are A and B independent? (Hint: Is $P \left(A \cap B\right) = P \left(A\right) P \left(B\right)$ ? If $P \left(A \cap B\right) = P \left(A\right) P \left(B\right)$ , then A and B are independent. If not, then they are dependent).

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