a card is drawn from a pack of 52 cards find the probability of getting a king or a heart or a red card
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According to principle of exclusion and inclusion
P(k U H U R) = P(k) +P(H) +P(R) -P(K ^ H) -P(K ^ R)
-P(R ^ H) + P(K ^ H ^ R)
where "^" denotes the intersection sign
" U " denotes the Union sign
and
K means king card ( total 4 and 1 in heart)
H means heart card ( total 13 )
R means Red card ( total 26 )
on calculating
P(K) = 4/52
P(H) = 13/52
P(R) = 26/52
P(K ^ H) = 1/52 { as only one king of H }
P(K ^ R) = 2/52
P(R ^ H) = 13/52
P(K ^ H ^ R) = 1/52
now putting values
P(k U H U R) = 4+13+26-1-2-13+1 / 52
P(k U H U R) = 28/52
P(k U H U R) = 7/13
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