Question 1049992
you want the probabililty of getting a 6 or a spade.


the probability of getting  a 6 is 4/52.


the probability of getting a spade is 13/52.


the probability of getting a 6 and a spade at the same time is 1/52.
that would be the 6 of spades.


p(a or b) = p(a) + p(b) - p(a and b).


you get p(a or b) = 4/52 + 13/52 - 1/52.


this becomes p (a or b) = 16/52 which can be simplified to 4/13.


this looks like the answer you arrived at without using the formula i showed you above.


let's look at what you did.


you did:


If one card is drawn from a deck, find the probability of getting the following result:
A 6 or a spade 
hearts: (1/52) ***** you mean one 6 of hearts i presume.
clubs: (1/52) ***** you mean one 6 of clubs i presume.
spades: (13/52) 6 is also included in the spades suite ***** correct.
diamonds: (1/52) ***** you mean one 6 of diamonds i presume.
This totals 16 cards ***** correct.
P of getting a 6 = (1/52) + (1/52) + (1/52) = (3/52) ***** correct - this does not include the 6 of spades.
P of getting a spade = (13/52) ***** correct - this includes the 6 of spades.
(3/52) + (13/52) = 16/52 = 4/13 ***** correct -it's ok to simplify the fraction.


your approach was logical and correct even though you didn't use the formula shown above.