if you flip two coins 64 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 64 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 - coins, the total number of possible outcomes is $2\times2 = 4$ (HH, HT, TH, TT). The probability of getting both tails (TT) is $p=\frac{1}{4}$.
Step2: Calculate expected number of times
We flip the two - coins $n = 64$ times. The expected value $E$ of the number of times both coins land on tails is given by $E=np$. Substitute $n = 64$ and $p=\frac{1}{4}$ into the formula: $E=64\times\frac{1}{4}$. $E = 16$.
Answer:
16