Question

a coin and a six-sided die are tossed.
event a: the coin does not land on heads.
event b: the die lands on 4.
what is the probability that both events will occur?
\\(p(a \text{ and } b) = ?\\%\\)
for independent events: \\(p(a \text{ and } b) = p(a) \cdot p(b)\\)
round your answer to the nearest whole percent.

Explanation:

Determine the probability of Event A

$$ P(A) = P(\text{not Heads}) = P(\text{Tails}) = \frac{1}{2} $$

Determine the probability of Event B

$$ P(B) = P(\text{die lands on 4}) = \frac{1}{6} $$

Calculate the joint probability of both independent events

$$
LATEXBLOCK0
$$

Answer:

A coin and a six-sided die are tossed.
Event A: The coin does NOT land on heads.
Event B: The die lands on 4.
What is the probability that both events will occur?
\(P(A \text{ and } B) =\) <blank>8</blank>%