Question

question 9 points 3
three coins are tossed simultaneously. what is the probability of getting three heads?
○ \\(\frac{1}{4}\\)
○ \\(\frac{1}{8}\\)
○ \\(\frac{1}{9}\\)
○ \\(\frac{1}{32}\\)

Explanation:

Step1: Determine total outcomes

When a coin is tossed, there are 2 outcomes (head or tail). For 3 coins, the total number of outcomes is $2\times2\times2 = 2^3 = 8$.

Step2: Determine favorable outcomes

The favorable outcome (getting three heads) is only 1 (HHH).

Step3: Calculate probability

Probability is the number of favorable outcomes divided by the number of total outcomes. So, probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{1}{8}$.

Answer:

$\frac{1}{8}$ (corresponding to the option with $\frac{1}{8}$)