Question

introduction to compound probability

two coins are tossed.
event a: the first coin lands on heads.
event b: the second coin lands on tails.

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:

Identify individual probabilities

Using the Independent Events knowledge point

$$
LATEXBLOCK0
$$

Calculate the joint probability

Using the Probability of Intersection knowledge point

$$
LATEXBLOCK1
$$

Convert to percentage

Using the Theoretical Probability knowledge point

$$
LATEXBLOCK2
$$

Answer:

Two coins are tossed.
Event A: The first coin lands on heads.
Event B: The second coin lands on tails.
What is the probability that both events will occur?
\(P(A \text{ and } B) =\) <blank>25</blank>%