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פּוֹפּוּלָרִי Word Problems >

You randomly select one card from a 52-card deck. Find the probability of selecting a red eight or a black nine.

פתרון

Y o u r an d o m l y se l ec t o n e c a r d f ro m a ​ 52 - c a r d d ec k . F in d t h e p ro babi l i t y o f se l ec t in g a re d e i g h t or a b l a c k nin e .

פתרון

\frac{1}{13}

+1

עשרוני

0.07692 \dots

צעדי פתרון

Find the probability of getting red 8 :

\frac{1}{26}

Find the probability of getting black 9 :

\frac{1}{26}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= \frac{1}{26} + \frac{1}{26}

\frac{1}{26} + \frac{1}{26} = \frac{1}{13}

= \frac{1}{13}

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