Question

if you flip two coins 2,400 times, what is the best prediction possible for the number of times both coins will land on heads? times

Explanation:

Step1: Find probability of both heads

When flipping two fair coins, the possible outcomes are HH, HT, TH, TT. So there are 4 equally - likely outcomes. The outcome where both are heads (HH) is 1 outcome. So the probability \(P(\text{both heads})\) is \(\frac{1}{4}\).

Step2: Calculate expected number of times

We know that the number of trials \(n = 2400\). The expected number of times an event occurs is given by the formula \(E=n\times P\), where \(n\) is the number of trials and \(P\) is the probability of the event. Substituting \(n = 2400\) and \(P=\frac{1}{4}\) into the formula, we get \(E = 2400\times\frac{1}{4}\).
\(2400\times\frac{1}{4}=\frac{2400}{4}=600\)

Answer:

600