Question

You first toss a fair coin five times. Next you toss the coin as many
times as the number of heads showing up in these five tosses. Let the
random variable X be the number of heads in all tosses of the coin,
including the first five tosses. Use conditional expectations to find the
expected value of X.

Answer 1

Answer:

you can just experimen and can find out the ans or its on google

Answer 2

Answer:

Step-by-step explanation:

"When five coins are tossed, the probability of getting one tail is same as getting no tails at all, or getting two, three, four or five tails after tossing the coins.

So if every probability can be taken as ½, then the total probability is (1/2)5 = 1/32.

Hence, the probability of getting at least one tail = 1 – 1/32 = 31/32.