Coin Tossing: When a dime is tossed four times, there are 16 possible outcomes:

ID: 3253986 • Letter: C

Question

Coin Tossing: When a dime is tossed four times, there are 16 possible outcomes:

HHHH, HTHH, THHH, TTHH,

HHHT, HTHT, THHT, TTHT,

HHTH, HTTH, THTH, TTTH

HHTT, HTTT, THTT, TTTT

Here, for example, HTTH represents the outcome that the first toss is heads, the

next two tosses are tails, and the fourth toss is heads. List the outcomes that constitute

each of the following events and then calculate the probability of each event.

A = event exactly two heads are tossed,

B = event the first two tosses are tails,

C = event the first toss is heads,

D = event all four tosses come up the same.

E = At least one tail

F = At least on head

P(A) = 6/16 = 3/8 = 0.375

P(B) = 4/16 = 1/4 = 0.25

P(C) = 8/16 = 1/2 = 0.5

P(D) = 2/16 = 1/8 = 0.125

P(E) = 15/16 = 0.9375

P(F) = 15/16 = 0.9375

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