Question

in a simultaneously pair of dice thrown find the probability of getting an even number on each die (Show me Step by Step Explanation)​

Answer 1

Answer:

1/4

Step-by-step explanation:

For the sake of simplicity, let's call on die the "red" one and the other die the "blue" one.  Of course, they might both be purple, but this is just to give them names.

Let A be the event that the red die comes up with an even number.

Let B be the event that the blue die comes up with an even number.

We want P(A and B).  Since the die are separate physical entities that have no influence on each other, the events A and B are independent.   As independent events, we have:

P(A and B) = P(A) × P(B).

Now P(A) = ( # even number outcomes ) / ( # possible outcomes )

              = 3/6  =  1/2

Similarly, P(B) = 1/2.

Therefore

P(A and B) = 1/2 × 1/2 = 1/4.

Answer 2

Answer:

Step-by-step explanation: