Question

From a well-shuffled deck of 52 playing cards, one card is drawn at random. Find
the probability that the card drawn is:
(i) a card of diamond.
an ace.
(iii) 5 of club.
​

Answer 1

Answer:

Cards of spades and clubs are black in colour. Cards of heart and diamonds are red in colour. In 13 cards of each suit, there are three honour cards or face cards namely Kings (K), Queens (Q) and Jacks or Knaves (J).

A well shuffled pack of cards ensures equally likely outcomes.

The 52 playing cards are classified as follows:

One card out of 52 well shuffled cards can be selected in 52C 1 ways

∴n(S)=52

Let D be an event of getting a diamond

Then, n(D)=13

∴P(D)=

$\frac{13}{52} = \frac{1}{4}$

Answer 2

Answer:

P(E) = no. of possible outcomes

___________________

total no. of outcomes

Step-by-step explanation:

(i) 13/52 = 1/4

(ii) 4/52 = 1/13

(iii) 1/52

hope it helps