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Popular Word Problems >

solve and show solution : If a card is selected at random standard deck of card, what is the probability that the card drawn is red card or face card

Solution

so l v e an d s h o w so l u t i o n : I f a c a r d i s se l ec t e d a t r an d o m s t an d a r d d ec k o f c a r d, w ha t i s t h e p ro babi l i t y t ha t t h e c a r d d r a w n i s re d c a r d or f a ce c a r d

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

Find the probability of the card drawn is red card:

\frac{1}{2}

Find the probability of face card:

0

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}{2} + 0

Apply rule:

a + 0 = a

= \frac{1}{2}

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