9. A card is drawn from a pack of well – shuffled $52$ playing cards. Find the probability that the card draw is, (i) a diamond (ii) a red card
9. A card is drawn from a pack of well – shuffled $52$ playing cards. Find the probability that the card draw is, (i) a diamond (ii) a red card

According to the question given, a card is drawn from a pack of well – shuffled $52$ playing cards.

(i)

The probability that getting a diamond,

In $52$ playing cards there are $13$ diamond cards

Therefore, the number of favorable outcomes to the event getting a diamond card $=13$

Thus,

P(card drawn is a diamond) = Favorable outcomes/Total number of outcomes

$=13/52$

$=1/4$

(ii)

The probability that getting a red card,

In $52$ playing cards there are $26$ red cards

Now, the number of favorable outcomes to the event getting a red card $=13$

Thus,

P(card drawn is a red card) = Favorable outcomes/Total number of outcomes

$=26/52$

$=1/2$