Question

if a card is drawn from deck of 52 playing cards ;then probability of getting a heart or diamond is?

Answer 1

Heya!
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♦Probability ♦
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✴Probability of an Event £ is Given by =>

P ( £ ) = Favourable Outcomes / Total Outcomes


♦When a card is drawn from playing cards =>
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✳Total Outcomes possible => 52

✳Favourable Outcomes => 13 + 13 => 26


=> P ( Heart or Diamond ) = 26 / 52

=> ½


$.....$
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Answer 2

There are 52 cards in a deck.

Out of which 13 are ‘Diamond Cards'.

There are 4 ‘Ace Cards' (including an Ace of Diamond) in a deck.

Let event 'A' be drawing a ‘Diamond’, then probability of getting a ‘Diamond', P(A) = 13/52

Let event 'B' be drawing an 'Ace’, then probability of getting an ‘Ace’, P(B) = 4/52

Probability of getting Ace of Diamond, P(A and B)= 1/52

Probability of getting a ‘Diamond' or an ‘Ace’ if one card is drawn at random, P(A or B) = P(A) + P(B) — P (A and B) = 13/52 + 4/52 — 1/52 = 4/13