A company is considering producing two new electronic games designed for the popular Gameboy toy.Based on market data,management believes that there is a 60 percent chance that a "cops and robbers" game will be successful and a 40 percent chance that a "let's play house" game will be successful.As these products are completely different,it may be assumed that the success of one is totally independent of the success of the other.If two products are introduced to the market,what is the probability that both are failures?
A)0.16
B)0.24
C)0.80
D)0.36
E)None of the above

Question

Quizplus · Accepted Answer

The probability of the first game (Cops and Robbers) failing is 1 - 0.6 = 0.4. The probability of the second game (Let's Play House) failing is 1 - 0.4 = 0.6. Since the success of one game is independent of the success of the other, the probability of both games failing is simply the product of their individual probabilities of failure:

0.4 x 0.6 = 0.24

Therefore, the answer is B) 0.24.

A Company Is Considering Producing Two New Electronic Games Designed