Question

Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Rolling two 3s followed by one 5 on three tosses of a fair die.
Choose the correct answer below. ​(Type an integer or a simplified​ fraction.)
A. The individual events are independent. The probability of the combined event is ___
B. The individual events are dependent. The probability of the combined event is ___

Answer 1

B: and 1/18 I think. i dont trust myself on this one

Answer 2

Using probability concepts, it is found that the correct option is:

A. The individual events are independent. The probability of the combined event is $\frac{1}{216}$

When a dice is thrown, there will always be 6 possible sides in which it can land, hence, the individual events are independent.

When multiple events are independent, the probability of all happening is the multiplication of the probabilities of each happening.

In this problem, each of the events, the two 3s and then the 5 has a $\frac{1}{6}$ probability of happening, hence:

$\left(\frac{1}{6}\right)^3 = \frac{1}{216}$

Hence, option A is correct, with a $\frac{1}{216}$ probability.

A similar problem is given at https://brainly.com/question/25302661