Question

In a carnival game called Spot the Spot, the player has to drop five disks onto a red circle. The disks must cover it completely for the player to win. The probability that a skilled player can drop one of the disks onto the exact place on the red circle that it must occupy is about 1/3. What is the probability that such a player will be able to drop

Answer 1

See explanation

Explanation:

Given

`n=5` --- disks

`p = (1)/(3)` --- success probability

Required

The question is incomplete, as the required probability is not stated.

However, the question follows binomial distribution and the probability is calculated using:

`P(x) = ^nC_x * p^x * (1 - p)^(n-x)`

Assume the question requires that we calculate the probability that he's able to drop 2 disks, the probability will be:

`P(x = 2) = ^5C_2 * ((1)/(3))^2 * (1 - (1)/(3))^(5-2)`

`P(x = 2) = ^5C_2 * ((1)/(3))^2 * ((2)/(3))^(3)`

`P(x = 2) = 10 * (1)/(9)* (8)/(27)`

`P(x = 2) = (80)/(243)`

Apply the formula to the complete question