if you flip two coins 8 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 8 times, what is the best prediction possible for the number of times both coins will land on tails? times
Answer
Explanation:
Step1: Calculate probability of both - tails
When flipping two fair coins, the total number of possible outcomes is (2\times2 = 4) (HH, HT, TH, TT). The probability (P) that both coins land on tails is (P=\frac{1}{4}).
Step2: Use expected - value formula
The expected - value (E) of a binomial experiment is given by (E = n\times p), where (n) is the number of trials and (p) is the probability of success in a single trial. Here, (n = 8) (number of times two coins are flipped) and (p=\frac{1}{4}). So (E=8\times\frac{1}{4}).
Answer:
2