In a certain game, you perform three tasks. You flip a coin, 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 answers:  A) 23/48  B) 11/16  C) 15/32  D) 14/36  E) 17/56
The answer is 23/48   Probability of just one enent will be happining   So, Probability heads=1/2   Probability number 6 =1/6   Probability picking a spades card =1/4   so, Probability win by getting heads= 1/2*5/6*3/4 = 15/48   Probability win by getting number 6 = 1/2*1/6*3/4 = 3/48   Probability win by picking a spades card =1/2*5/6*1/4=5/48   Probability wining= 15/48+3/48+5/48 =23/48
<result>A</result>
In a certain game, you perform three tasks. You flip a coin, 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?