Respuesta :
Answer:
The probability of tail occurs = [tex]\frac{1}{4}[/tex] = 0.25
and
The probability of heads occurs = [tex]\frac{3}{4}[/tex] = 0.75
Step-by-step explanation:
Given:
Let P be the tail as outcome in a toss.
Heads is three times as likely to come up as tails.
So, Probability of getting heads = 3P
The total probability is 1
So, P + 3P = 1
4P = 1
P = [tex]\frac{1}{4}[/tex] = 0.25
We denoted P as the probability of getting tail in a toss.
So probability of getting heads = 1 - [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]
Therefore, the probability of tail occurs = [tex]\frac{1}{4}[/tex] = 0.25
and
The probability of heads occurs = [tex]\frac{3}{4}[/tex] = 0.75