Suppose i have either a fair coin or a bent coin, and i don't know which. the bent coin has a 60% probability of coming up heads. i throw the coin ten times and it comes up heads 8 times. what is the probability i have the fair coin vs. the probability i have the bent coin?

Last part of Question:

Assume at the outset there is an equal (.5,.5) prior probability of either coin.

0.36

Step-by-step explanation:

Let P(A) = Probability of fair coin = 0.5

Let P(B) = Probability of bent coin = 0.5

The coin was thrown 10 times

The number of possible events, E = 10

P(E | A) =

P(E | A) =0.0440

P(E |B) =

P(E |B) = 0.1209

Probability of having the fair coin vs the probability of having the bent coin = 0.2665/0.7334

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

what are ur choices?