Please help ASAP!!!
A six-sided number cube is rolled. What is the probability of getting a 3 and then a 4, given that the first number rolled was a 3?

1. 1/3
2. 1/6
3. 1/36
4. 1/2

Respuesta :

Answer: Option '2' is correct.

Step-by-step explanation:

Since we have given that

A six-sided number cube is rolled.

Let A be the event of getting the first number rolled was 3 .

Let B be the event of getting 4.

Probability of getting the first number rolled was 3 is given by

[tex]P(A)=\frac{6}{36}=\dfrac{1}{6}[/tex]

Probability of getting a 3 then a 4 is given by

[tex]P(A\cap B)=\frac{1}{36}[/tex]

so, our required probability is given by

[tex]P(B\mid A)=\frac{P(A\cap B)}{P(A)}=\frac{\dfrac{1}{36}}{\dfrac{1}{6}}=\dfrac{1}{6}[/tex]

Hence, Probability of getting a 3 and then a 4 given that the first number rolled was a 3 is [tex]\dfrac{1}{6}[/tex]

Therefore, Option '2' is correct.

Answer:Answer: Option '2' is correct. which is 1/6

Step-by-step explanation:took the test ang got it right