A red die and a blue die are tossed.

Determine the probability of the red die showing a 3 and the blue die showing a 3.
Express your answer as a simplified fraction.

Step-by-step explanation:

-A fair die has 6 faces, a sample space of 6 and each space has a probability of 1/6:

#The probability of 3 in the red die;

#The probability of 3 in blue die:

The probability of a 3 in both dice is the product of the individual probabilities:

Hence, the probability of a 3 in both dice is

60: 45 =12: 9 =4: 3 so the answer is 4: 3