In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choose the correct choice from the following:
A) 1/48 B) 5/16 C) 11/12 D) 11/16 E) 23/48
23/48vent(1): Probability of getting head in a flip of coin = 1/2   23/48vent(2): Probability of getting 6 in a roll of dice = 1/6   23/48vent(3): Probability of getting spade in a pack of card = 1/4   Probability of winning is having exactly one successful event is:   P(success 1)* P(Fail 2)* P(Fail 3) + P(Fail 1)* P(Success 2)* P(Fail 3) + P(Fail 1)* P(Fail 2)* P(Success 3)   = 1/2*5/6*3/4 +1/2*1/6*3/4 +1/2*5/6*1/4   =15/48 + 3/48 +5/48   =23/48   Answer :23/48
<result>E</result>
In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?