Question

a bag contains 3 red balls and 5 green balls.

what is the probability of picking a red ball from the bag and getting heads upon flipping a coin?

a.) \\(\frac{1}{8}\\)

b.) \\(\frac{3}{16}\\)

c.) \\(\frac{3}{4}\\)

d.) \\(\frac{7}{8}\\)

Explanation:

Calculate the probability of picking a red ball

Using the Theoretical Probability knowledge point

$$
LATEXBLOCK0
$$

Calculate the probability of flipping heads

Using the Probability of Events knowledge point

$$ P(\text{Heads}) = \frac{1}{2} $$

Calculate the joint probability of both independent events

Using the Probability of Events knowledge point

$$
LATEXBLOCK1
$$

Answer:

• a.) \(\frac{1}{8}\)
• b.) \(\frac{3}{16}\) (Correct answer)
• c.) \(\frac{3}{4}\)
• d.) \(\frac{7}{8}\)