Question

in a game of chance a spinning arrow comes to rest any number from 1 to 12 all these are equally likely outcomes let A be any random event to find the probability of A fill the box ​

Answer 1

as cube of 1 is 1 and cube of 2 is 8

Answer 2

Given:

In a game of chance a spinning arrow comes to rest any number from 1 to 12 all these are equally likely outcomes

To Find:

The probability of A to fill the box ​

Solution:

In this case, we have a sample size of 12 which is represented as

S= {1,2,3,4,5,6,7,8,9,10,11,12}

n(s)=12

Let A be the event in which the arrow points at a number which is a perfect cube.

⇒A={1,8}

   n(A)=2

We know that,

P(A) = $\frac{n(A)}{n(S)}$ = $\frac{2}{12}$ = $\frac{1}{6}$ = 0.167

Hence, The probability of A to fill the box ​is 0.167.