Question

What is the probability of the complement of rolling a number less than 5 by using a six-sided die?

Answer 1

Answer:

Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:

1/3

Step-by-step explanation:

Let A denote the event of rolling a number less than 5 in a six-sided die.

Now, we know that the Total outcomes are: 6

since, the sample space is given as: {1,2,3,4,5,6}

Also Number of favorable outcomes are: 4

since the numbers which are less than 5 are {1,2,3,4}

Now we have to find:

$P(A^c)$

where P denotes the probability of an event and $A^c$ denote the complement of event A.

We know that:

$P(A^c)=1-P(A)$

Now,

$P(A)=\dfrac{4}{6}\\\\P(A)=\dfrac{2}{3}$

Hence,

$P(A^c)=1-\dfrac{2}{3}\\\\P(A^c)=\dfrac{3-2}{3}\\\\P(A^c)=\dfrac{1}{3}$

Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:

1/3

Answer 2

Answer:

1/3

Step-by-step explanation:

i did it