A weighted coin has the property that the Heads comes up 60 percent of the time. On two flips of the coin, is it more likely that the outcomes from the two flips are the same, or the outcomes from the two flips are different?

Question

The same outcome is more likely
Different outcomes are more likely
Likelihood is the same
Cannot determine

Explain your answer.

Answer 1

pr(H,H)=.6*.6= .36
pr(T,H)= .4*.6=.24
Pr(H,T)=.24
Pr(T,T)=.16

so the likelyhood of one head and one tail is .48, the probablity of both the same is .36+.16=.52