# Five cards - the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.

(i) What is the probability that the card is the queen?

(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

**Solution:**

We use the basic formula for probability to solve the problem.

Total number of cards = 5

Number of queen cards = 1

(i) Probability that the card is the queen = Number of possible outcomes/Total number of favourable outcomes = 1/5

(ii) If the queen is drawn and put aside, then four cards are left the ten, jack, king and ace of diamonds

(a) Probability that the card an ace = Number of possible outcomes/Total number of favourable outcomes = 1/4

(b) Probability that the card is the queen = Number of possible outcomes/Total number of favourable outcomes = 0/4 = 0

**Video Solution:**

## Five cards the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (i) What is the probability that the card is the queen? (ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

### NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.1 Question 15 - Chapter 15 Exercise 15.1 Question 15:

**Summary:**

Five cards the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (i) The probability that the card is the queen is 1/5, and (ii) If the queen is drawn and put aside, then the probability that the second card picked up is (a) an ace is 1/4; (b) a queen is 0.