Question

Brainlist Please help me

Answer 1

Answer:

Yes she made an error. Explanation is below.

Step-by-step explanation:

Let the sample space for a six sided number cube be S

$n(S) = \{1,2,3,4,5,6\}\\n(S) = 6$

Let the event of a number getting greater than two be B

$n(B) = \{3,4,5,6\}\\n(B) = 4$

To find:

the probability of complement of B that is

p(~B) = ?

Solution"

First we need to solve probability for number getting greater than two

$p(B) = \frac{n(B)}{n(S)}$

Now substituting the values we get

$p(B) = \frac{4}{6}$

$p(B) = \frac{2}{3}$

but we need complement of B so

$p(\textrm{complement of B)} = 1 - p(B)\\p(\~B) = 1 - p(B)\\p(\~B) = 1 - \frac{2}{3}\\ =\frac{1}{3}$

P(complement of rolling a number greater than two) = $\frac{1}{3}$