English

A Card is Drawn at Random from a Pack of 52 Cards. Find the Probability that Card Drawn Is Neither a Heart Nor a King - Mathematics

Advertisements
Advertisements

Question

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is neither a heart nor a king

Solution

E⟶ event of getting neither a heart nor a king.

No. of favourable outcomes = 52 – 13 – 3 = 36 {since we have 13 hearts, 3 kings
each of spades, clubs & diamonds}

We know that, P(E) =`"No.of favorable outcomes"/"Total no.of possible outcomes"`

P(E) =36/52 =9/13

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Probability - Exercise 16.1 [Page 20]

APPEARS IN

RD Sharma Mathematics [English] Class 10
Chapter 16 Probability
Exercise 16.1 | Q 6.05 | Page 20

RELATED QUESTIONS

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? (ii) white? (iii) not green?


Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Figure). What is the probability that the fish taken out is a male fish?


Are the arguments in the following sentence correct or not correct? Give a reason for your answer.

If two coins are tossed simultaneously there are three possible outcomes, two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is `1/3.`


There are six cards in a box, each bearing a number from 0 to 5. Find the probability of the following event, that a card drawn show,  number less than 1.


A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is – either red or white.


Cards, marked with numbers 5 to 50, are placed in a box and mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the card is (i) a prime number less than 10 (ii) a perfect square.


A die is rolled twice. Find the probability that 5 will not come up either time.


A letter is chosen at random from the letters of the word ASSOCIATION. Find the probability that the chosen letter is a consonant.


If P (A) and P (not A) are complementary events and P (A) = 0.15, then P (not A) = ?


What is the probability of not picking a face card when you draw a card at random from a pack of 52 cards?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×