Answer:
The probability that the coin will land on the same side each time is 1/4.
Step-by-step explanation:
It is given that a certain coin has equal probability of landing on either side.
H : The coin will land on heads
T : The coin will land on tails
[tex]P(H)=P(T)=\frac{1}{2}[/tex]
We need to find the probability that it will land on the same side each time if it is tossed three times.
Probability = Three times heads + Three times tails
[tex]Probability=P(H)P(H)P(H)+P(T)P(T)P(T)[/tex]
[tex]Probability=(\frac{1}{2})(\frac{1}{2})(\frac{1}{2})+(\frac{1}{2})(\frac{1}{2})(\frac{1}{2})[/tex]
[tex]Probability=\frac{1}{8}+\frac{1}{8}[/tex]
[tex]Probability=\frac{1+1}{8}[/tex]
[tex]Probability=\frac{2}{8}[/tex]
[tex]Probability=\frac{1}{4}[/tex]
Therefore the probability that the coin will land on the same side each time is 1/4.
Answer:
The probability that the coin will land on the same side each time is 1/4.
Step-by-step explanation:
