Question

5. Twenty-four percent of children believe in both Santa andthe tooth fairy. Suppose that 51% of children believe in Santa, and 65% of children believe in Santa or the tooth fairy. a) Define the events. b) Write down the given probabilities fi.e. P- c) What is the probability that a child believes in Santa and does not believe in the tooth fairy? Use proper notation (i.e. P d) What is the probability that child believes in the tooth fairy? e) For children, are the events believing in Santa and not believing in Santa mutually exclusive? If not, explain mathematically.

Answer 1

child nen beloives ijn Lanta^. believes 'n both believes in Santa bus no in ot beieves n oth bi but not lo A- belieein Sante B-Not beliven Santa P(S)a o.5 Ce