Question

# A fair coin is tossed five times. What is the theoretical probability that the coin lands on the same side every time? A) 0.1 B) 0.5 C) 0.03125 D) 0.0625

Answer

0.0625

- Identify the number of possible outcomes for each toss. A: There are two possible outcomes for each toss - heads or tails.
- Determine the number of outcomes for five tosses. A: Since there are two possible outcomes for each toss, there are 2^5 = 32 possible outcomes for five tosses.
- Determine the number of favorable outcomes. A: There are two favorable outcomes - either all heads or all tails.
- Calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes. A: 2/32 = 0.0625.