A red die and a green die are tossed. The probability that a 2 will appear uppermost on the red die is , and the probability that a 6 will appear uppermost on the green die is . The probability that the red die will show a 2 or the green die will show a 6 is .
A) The statement is incorrect
B) The statement is correct

Question

A red die and a green die are tossed. The probability that a 2 will appear uppermost on the red die is  , and the probability that a 6 will appear uppermost on the green die is  . The probability that the red die will show a 2 or the green die will show a 6 is  . ​ 
A) The statement is incorrect 
B) The statement is correct

Quizplus · Accepted Answer

The probability that either the red die will show a 2 or the green die will show a 6 is the sum of the individual probabilities minus the probability of both events happening at the same time (since we would be counting that scenario twice). Using the addition rule of probability, we get:

P(red die shows 2) + P(green die shows 6) - P(both dice show 2 and 6)

= 11eab448_e7cd_7c60_acdb_e16baef61ae6_TB6027_11 + 11eab448_e7cd_a371_acdb_43d33a568e3d_TB6027_11 - P(both dice show 2 and 6)

So, the statement is correct.

A Red Die and a Green Die Are Tossed