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Popular Word Problems >

You randomly select one card from a 52-card deck. Find the probability of selecting the jack of diamonds or the seven of clubs

Solution

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 t h e ja c k o f d iam o n d s or t h e se v e n o f c l u b s

Solution

\frac{1}{26}

+1

Decimal

0.03846 \dots

Solution steps

Find the probability of getting jack diamond :

\frac{1}{52}

Find the probability of getting 7 club :

\frac{1}{52}

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}{52} + \frac{1}{52}

\frac{1}{52} + \frac{1}{52} = \frac{1}{26}

= \frac{1}{26}

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