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 any of these task are successful, then you win the game. What is the probability of winning? Choose one: A) 1/48 B) 5/16 C) 11/12 D) 11/16 E) 23/48
Probability of event not happening is equal to (1 - Probability of event happening)   So, Probability NO heads=1/2   Probability NO number 6 =5/6   Probability NO picking a spades card =3/4   so, Probability NO winning = 1/2*5/6*3/4 = 15/48=5/16   Probability NO winning = 1 - 5/16 = 11/16 .   answer is 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 spades card. If any of these task are successful, then you win the game. What is the probability of winning?