Subjects probability

Probability B Three 7B1Ed4

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We have a spinner with four equally likely spaces: A, B, C, and D. We want to find the probability of spinning a B three times in a row. 2. **Formula and rules:** The probability of an event happening multiple times in a row, when each event is independent, is the product of the probabilities of each event. Here, each spin is independent. 3. **Calculate the probability of spinning a B once:** Since there are 4 spaces and each is equally likely, the probability of landing on B in one spin is $\frac{1}{4}$. 4. **Calculate the probability of spinning B three times in a row:** $$ \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) = \left(\frac{1}{4}\right)^3 = \frac{1}{64} $$ 5. **Interpretation:** The probability of spinning B three times consecutively is $\frac{1}{64}$, which means it is quite unlikely but possible.