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 Hearts card. If any of these task are successful, then you win the game. What is the probability of winning?	Choose the correct choice
A) 1/48
B) 5/16
C) 11/12
D) 11/16
E) 23/48
First lets get the overview   Event 1(A) = Flipping the quarter( Probability of both winning/loosing = 1/2)   Event 2(B) = Rolling a dice( Probability of winning = 1/6 ;Probability of loosing= 1 - 1\6 =5\6)   Event 3(C) = Drawing a card( SPADES) Probability of winning = 13/52=3/4 ;Probability of loosing= 1 - 3/4 =1/4)   So now as above we have three events A,BC.   1st method(This is lengthy method)   Possible cases in which it's a win( the highlighted green event is a win and red is loose.   1.ABC= 1/2*5/6*3/4   OR   2.ABC= 1/2*1/6*3/4   OR   3.ABC= 1/2*5/6*1/4   OR   4.ABC= 1/2*1/6*3/4   OR   5.ABC= 1/2*5/6*1/4   OR   6.ABC= 1/2*5/6*1/4   OR   7.ABC= 1/2*1/6*1/4   As we now OR means add   Adding up all of them we'll get the probability of winning ie 11/16   Answer : 11/16
<result>D</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 Hearts card. If any of these task are successful, then you win the game. What is the probability of winning?