(1 point) Urn A has 5 white and 17 red balls. Urn B has 9 white and 12 red balls. We flip a fair coin. If the outcome is heads, then a ball from urn A is selected, whereas if the outcome is tails, then a ball from urn B is selected. Suppose that a white ball is selected. What is the probability that the coin landed heads

The probability that the coin landed heads is 65.3%.

Step-by-step explanation:

Given : Urn A has 5 white and 17 red balls. Urn B has 9 white and 12 red balls. We flip a fair coin. If the outcome is heads, then a ball from urn A is selected, whereas if the outcome is tails, then a ball from urn B is selected. Suppose that a white ball is selected.

To find : What is the probability that the coin landed heads ?

Solution :

Let the event A be the ball taken from Urn A (5 white and 17 red balls)

Let B=A'- the ball taken from urn B(9 white and 12 red balls)

Let W be event that a white ball is selected.

An urn is chosen based on a toss of a fair coin.

P(A) = coin landed on heads =

P(B) = coin landed on tails =

and

Using Bayes formula,

Therefore, the probability that the coin landed heads is 65.3%.

y=1/4x-4

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,