Determine the Probability

From a pack of playing cards what is the probability of;

(i)  Picking either a 'Diamond' or a 'Heart' → mutually exclusive

(ii) Picking either a 'Flower' or an 'Ace' → indecent events

Solutions

(i) P(Diamond or Heart)

= P (Diamond) + P(Heart)

= (13/52) + (13/52) = 26/52

= 0.5

(ii) P(Flower or Ace)

= P(Flower) + P(Ace) - P(Flower and Ace)

= (13/52) + (4/52) - (1/52)

= 4/52 = 0.31

Note: the formula used in case of independent events is different to the one of mutually exclusive.