What probability should be assigned to the outcome of heads when a biased coin is tossed, if heads is three times as likely to come up as tails? What probability should be assigned to the outcome of tails?

Respuesta :

Answer:

propability is the low of chance

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

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