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Populaire Word Problems >

a card is drawn at random from a standard deck of cards what is the probability of getting a red card or a queen

Solution

a c a r d i s d r a w n a t r an d o m f ro m a s t an d a r d d ec k o f c a r d s w ha t i s t h e p ro babi l i t y o f g e tt in g a re d c a r d or a q u ee n

Solution

\frac{7}{13}

+1

Décimale

0.53846 \dots

étapes des solutions

Find the probability of getting a red card:

\frac{1}{2}

Find the probability of a queen:

\frac{1}{13}

Find the probability of getting a red card and a queen:

\frac{1}{26}

Use the Inclusion-Exclusion formula

P (X \lor Y) = P (X) + P (Y) - P (X \land Y)

= \frac{1}{2} + \frac{1}{13} - \frac{1}{26}

\frac{1}{2} + \frac{1}{13} - \frac{1}{26} = \frac{7}{13}

= \frac{7}{13}

Exemples populaires

paula chooses a number from 1 to 10 and flips a coin. what is the probability of choosing a number and the coin landing on heads julie is 25 years older than kim. 10 years from now julie will be twice as old as kim what are there current ages?The sum of two numbers is 125 . Find the two numbers if twice the smaller number is 5 less than the larger.Twice the différence of a number and 9 equals 6.A square postage stamp has a perimeter of 8 inches. How long is each side?