Question

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?

Answer 1

propability is the low of chance

Answer 2

The probability of tail occurs =
`(1)/(4)` = 0.25

and

The probability of heads occurs =
`(3)/(4)` = 0.75

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 =
`(1)/(4)` = 0.25

We denoted P as the probability of getting tail in a toss.

So probability of getting heads = 1 -
`(1)/(4)` =
`(3)/(4)`

Therefore, the probability of tail occurs =
`(1)/(4)` = 0.25

and

The probability of heads occurs =
`(3)/(4)` = 0.75