what is the probability that at least two of the coins will be tails?\n1/8\n3/8\n1/2\n3/4
what is the probability that at least two of the coins will be tails?\n1/8\n3/8\n1/2\n3/4
Answer
Explanation:
Step1: Count total outcomes
From the tree - diagram, the total number of possible outcomes when flipping 3 coins is 8.
Step2: Count favorable outcomes
The outcomes where at least two coins are tails are ((H,T,T)), ((T,H,T)), ((T,T,H)), ((T,T,T)). So there are 4 favorable outcomes.
Step3: Calculate probability
The probability (P) is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). So (P = \frac{4}{8}=\frac{1}{2}).
Answer:
(\frac{1}{2})