Question

(ii) A card is drawn from a well-shuffled pack of 52 playing cards. Find the
probability of event A that the card drawn is a spade.​

Answer 1

EXPLANATION.

A card is drawn from a well-shuffled pack of 52 playing cards.

Total no of cards = 52.

Total no of spade cards = 13.

As we know that,

P(a) = No of favorable outcomes/No of possible outcomes.

⇒ P(a) = 13/52.

⇒ P(a) = 1/4.

                                                                                         

MORE INFORMATION.

Odds for an event.

If an event A happens in m number of cases and if total number of exhaustive cases are n then we can say that,

The probability of event A, P(A) = m/n  and  p(a) = 1 - m/n = n - m/n.

Odds in favor of A = P(A)/p(a) = m/n/(n - m)/n = m/n - m.

And odds in against of A = p(a)/P(A) = (n - m)/n/m/n = n - m/m.

Answer 2

⚛ Sᴏʟᴜᴛɪᴏɴ ⚛

• Total number of cards T=52

• Total number of aces in cards A=4

• Total number of spades S=13

• Probability that the card drawn is an ace

::==> A/T= 4/52=1/13

• Probability that the card drawn is a spade
• = S/T = 13/52

::==> 1/4 ( αɳรωεɾ )