gaokao 2010 Q10

gaokao · China · shanghai-arts Probability Definitions Combinatorial Probability
10. From a shuffled deck of playing cards (52 cards), 2 cards are randomly drawn. The probability that ``both cards drawn are hearts'' is $\_\_\_\_$ (express the result as a fraction in lowest terms).
(5 points) If $\cos \alpha = - \frac { 4 } { 5 }$ and $\alpha$ is an angle in the third quadrant, then $\sin \left( \alpha + \frac { \pi } { 4 } \right) = $
10. From a shuffled deck of playing cards (52 cards), 2 cards are randomly drawn. The probability that ``both cards drawn are hearts'' is $\_\_\_\_$ (express the result as a fraction in lowest terms).\\