gaokao 2010 Q9

gaokao · China · shanghai-science Probability Definitions Probability Using Set/Event Algebra

9. A card is randomly drawn from a shuffled deck of playing cards (52 cards). Event $A$ is ``drawing the King of Hearts'', and event $B$ is ``drawing a Spade''. Then the probability $P ( A \cup B ) = $ $\_\_\_\_$ $\frac { 7 } { 26 }$ (express the result as a fraction in lowest terms).
Analysis: This examines the probability formula for mutually exclusive events. $P ( A \cup B ) = \frac { 1 } { 52 } + \frac { 13 } { 52 } = \frac { 7 } { 26 }$

(5 points) Let the even function $f ( x )$ satisfy $f ( x ) = 2 ^ { x } - 4$ for $x \geqslant 0$. Then $\{ x \mid f ( x - 2 ) > 0 \} = $

9. A card is randomly drawn from a shuffled deck of playing cards (52 cards). Event $A$ is ``drawing the King of Hearts'', and event $B$ is ``drawing a Spade''. Then the probability $P ( A \cup B ) = $ $\_\_\_\_$ $\frac { 7 } { 26 }$ (express the result as a fraction in lowest terms).

Analysis: This examines the probability formula for mutually exclusive events. $P ( A \cup B ) = \frac { 1 } { 52 } + \frac { 13 } { 52 } = \frac { 7 } { 26 }$\\

Paper Questions

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