Grinstead-Snell-Probability · Problem 4.1.25

Conditional Probability

Mathematics · independence-coin-toss-events

Problem

(Johnsonbough) A coin with probability

p

for heads is tossed

n

times. Let

E

be the event ``a head is obtained on the first toss'' and

F_k

the event ``exactly

k

heads are obtained.'' For which pairs

(n, k)

are

E

and

F_k

independent?