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Popular Word Problems >

1 point(s):possible:You randomly select one card from a 52-card deck.:Find the probability of selecting a red ace.

Solution

1 p o in t (s) : p oss ib l e : 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 a ce .

Solution

\frac{1}{26}

+1

Decimal

0.03846 \dots

Solution steps

Find the probability of getting red:

\frac{1}{2}

Find the probability of getting ace:

\frac{1}{13}

Since the events are independent, Use the formula

P (X_{1} \land X_{2} \land \dots \land X_{k}) = P (X_{1}) \cdot P (X_{2}) \cdot \dots \cdot P (X_{k})

= \frac{1}{2} \cdot \frac{1}{13}

\frac{1}{2} \cdot \frac{1}{13} = \frac{1}{26}

= \frac{1}{26}

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