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Popular Word Problems >

one card is drawn from a well shuffled deck of 52 cards.what is the probability of a red 10

Solution

o n e c a r d i s d r a w n f ro m a w e ll s h u ff l e d d ec k o f 52 c a r d s . w ha t i s t h e p ro babi l i t y o f a re d 10

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 10:

\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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