Question

A penny, a nickel, and a dime are flipped at the same time. Each coin can come out either heads (H) or tails (T).

a. What name is given to the act of flipping the coins?

b. There are eight elements in the sample space (i.e., HHH,THT, etc.). List all eight outcomes.

c. How many outcomes are there in the event, "Exactly two of the coins are heads"

d. Calculate P(HHT).

e. Calculate P(exactly two heads).

f. Calculate P (at least two heads).

g. Calculate P (penny and nickel are tails).

h. Calculate P (penny or nickel are tails).

i. Calculate P (none is tails).

j. Calculate P (zero, one, two or three heads).

k. Calculate P (four heads).

Answer 1

p n d

H H H
H H T
H T H
H T T
T H H
T H T
T T H
T T T

C two heads ---> 3

d P(HHT) = 1/8

e 3/8

f 4/8 = 1/2

g 2/8 = 1/4

h 6/8 = 3/4

i 1/8

j 1

k zero, not in set