Answer:
P=0.1250
Step-by-step explanation:
-Given the probability of snowing each day is 0.5.
#The probability that it snows in the next 3 days is calculated as:
[tex]P_{all}=P_1\times P_2\times P_3\\\\=0.5\times 0.5\times 0.5\\\\=0.1250[/tex]
Hence, the probability that it snows in all 3 days is 0.125
#illustrating using a fair coin:
-A fair coin has two faces
-Each face has an equal probability
-If the coin is tossed 3 times, the sample space can be written as:
[tex]C_{ss}=TTT, HTT, THT, TTH, HHT, HTH, THH, HHH.[/tex]
#The sample space is 8.
#Assuming that our event is 3 consecutive heads or 3 consecutive tails, the probability will be:
[tex]P=P_{HHH}=P_{TTT}=\frac{1}{8}=0.125[/tex]
