NCERT Class X Chapter 14: Probability Example 4

NCERT Class X Chapter 14: Probability Example 4

Question:

One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will (i) be an ace, (ii) not be an ace.

Given:

A well-shuffled deck of 52 cards.

To Find:

(i) Probability of drawing an ace.
(ii) Probability of not drawing an ace.

Formula:

Probability = Number of favorable outcomes Total number of possible outcomes

Solution:

(i) Probability of drawing an ace:

Number of aces = 4
Total number of cards = 52
⇒ Probability (Ace) = 4 52 = 1 13

(ii) Probability of not drawing an ace: Total cards - number of ace cards

Number of non-aces = Total cards - number of ace cards 

⇒ Number of non-aces = 52 - 4 

Number of non-aces = 48
 

Total number of cards = 52
⇒ Probability (Not Ace) = 48 52 = 12 13

Result:

(i) The probability of drawing an ace is 1 13 .
(ii) The probability of not drawing an ace is 12 13 .

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