Question

​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

Answer 1

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

Right side up = 60 Upside down = 53 Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Explanation:

Given

`Right = 60`

`Upside\ down = 53`

`Side = 37`

Required

First, we calculate the probability of landing on side

`P(Side) = (n(Side))/(Total)`

`P(Side) = (37)/(150)`

`P(Side) = 0.247`

Next, we calculate the expected value; E(x) using:

`E(x) = n * P(x)`

When tossed 100 more times:

n = 100 and P(x) = P(Side) = 0.247

So:

`E(x) = 100 * 0.247`

`E(x) = 24.7`

`E(x) = 25` --- approximated

Hence, it is expected that it will land on its side 25 times