Answer:
Explanation:
Probability is defined as the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
probability = n{E}/n{S}
n(E) is the total number of events
n{S} is the total number of sample space.
For a coin that is tossed 3times, the possible outcome are:
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
The total number of sample space is n(S) = 2³ = 8
n{S} = 8
a) probability of getting two heads.
Events E = {HHH, HHT, HTH, THH}
n(E) = 4
Pr(getting two heads) = 4/8 = 1/2
b) probability of getting one head.
Events E = {HTT, THT, TTH}
n(E) = 3
Pr(getting one head) = 3/8
c) probability of getting at least one head means probability of getting 1 head and more but not less than a head.
Events E = {HHH, HHT, HTH, HTT, THH, THT, TTH}
n(E) = 7
Pr(getting at least one head) = 7/8
d) probability of getting at least two heads means probability of getting 2 head and more but not less than 2 head.
Events E = {HHH, HHT, HTH, THH}
n(E) = 4
Pr(getting at least two head) = 4/8 = 1/2
Find the tree diagram in the attachment below.