Question

if you set the true probability of heads to 0.5, what should be the true probability of tails?
true probability of tails:
how many heads would you expect to observe after 10 tosses?
number of heads:

Explanation:

Step1: Determine Probability of Tails

For a fair coin (probability of heads \( P(H) = 0.5 \)), the probability of tails \( P(T) \) is \( 1 - P(H) \). So \( P(T) = 1 - 0.5 = 0.5 \).

Step2: Calculate Expected Heads in 10 Tosses

The expected number of heads \( E(H) \) in \( n \) tosses is \( E(H)=n\times P(H) \). Here, \( n = 10 \) and \( P(H)=0.5 \), so \( E(H)=10\times0.5 = 5 \).

Answer:

True probability of tails: \( 0.5 \)
Number of heads after 10 tosses: \( 5 \)