Technology and the Internet. Tablet computers have become very popular and fill

Question

Technology and the Internet. Tablet computers have become very popular and fill a gap between smartphones and PCs. A recent survey indicated that of those people who own tablets, 70 % use the device to play games and 45 % use the device to access bank accounts. Suppose 32 % do both -- play games and access bank accounts -- and suppose a tablet user is selected at random.

(a) What is the probability that the tablet user plays games or accesses bank accounts?

P(GB)P(GB) =

(b) What is the probability that the tablet user does not play
games nor access bank accounts

P[(GB)]P[(GB)] =

(c) What is the probability that the tablet user only plays games?

P(Only G)P(Only G) =

(d) What is the probability that the tablet user only accesses bank accounts?

P(Only B)P(Only B) =

Explanation / Answer

Solution:-

A recent survey indicated that of those people who own tablets, 70 % use the device to play games and 45 % use the device to access bank accounts. Suppose 32 % do both -- play games and access bank accounts.

P(play games) = P(G) = 0.70

P(bank account) = P(B) = 0.45

P(play games and access bank accounts) = P(G and B) = 0.32

(a) What is the probability that the tablet user plays games or accesses bank accounts?

P(GB) = P(G) + P(B) - P(G and B)

= 0.70 + 0.45 - 0.32 = 0.83

(b) What is the probability that the tablet user does not play games nor access bank accounts

P[(GB)] = 1 - P(GB)

= 1 - 0.83 = 0.17

(c) What is the probability that the tablet user only plays games?

P(Only G) = P(Games) - P(G and B)

= 0.70 - 0.32 = 0.38

(d) What is the probability that the tablet user only accesses bank accounts?

P(Only B) = P(Bank access) - P(G and B)

= 0.45 - 0.32 = 0.13

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