What is the probability of picking a pink marble and flipping tails? Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

1 answer

To compute the probability of picking a pink marble and flipping tails, we need two pieces of information: the probability of picking a pink marble and the probability of flipping tails.

  1. Probability of picking a pink marble (P(pink)): This probability depends on the total number of marbles and the number of pink marbles. Unfortunately, we do not have specific numbers about the total marbles or the pink ones from your prompt. Let's denote:

    • \( P(pink) \) = number of pink marbles / total number of marbles
  2. Probability of flipping tails (P(tails)): This is a standard probability for a fair coin, which is:

    • \( P(tails) = \frac{1}{2} \)

The overall probability of both events occurring (picking a pink marble and flipping tails) is calculated by multiplying their individual probabilities, assuming the two events are independent:

\[ P(pink \text{ and } tails) = P(pink) \times P(tails) \]

Thus, we can write it as:

\[ P(pink \text{ and } tails) = P(pink) \times \frac{1}{2} \]

Without specific values for \( P(pink) \), the final answer would remain in the form:

\[ \frac{P(pink)}{2} \]

If you provide the specific number of pink marbles and total marbles, I can give a numerical answer.