Question

A card is drawn at random from a well shuffled pack of 52 cards find the probability of getting neither a red card nor a black king

Answer 1

Answer:

Let the proability of getting neither a red card nor a black king in a deck of cards be 'E'.

No. of times 'E' occurs = No. of red cards  + No. of black kings in a deck  

= 26 + 2

= 28

∴ No. of times 'E' occurs = 28

P(E) = No. of trials in which an event has occured

                           Total no. of trials  

P(E)= $\frac{28}{52}$

     

     = $\frac{14}{26}$

∴ The probability of getting neither a red card nor a black king from a deck of cards is 14    ( or  1.857142 )

                            26