NCERT Class X Chapter 14: Probability Exercise 14.1 Question (15)
NCERT Class X Chapter 14: Probability Exercise 14.1 Question 15
Question:
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?
Given:
Five cards: 10, J, Q, K, A of diamonds.
To Find:
(i) Probability of picking the queen.
(ii) (a) Probability of picking an ace after the queen is removed.
(ii) (b) Probability of picking a queen after the queen is removed.
Formula:
Probability = Favorable Outcomes Total Outcomes
Solution:
(i) Probability of picking the queen:
Total outcomes = 5
Favorable outcome (Queen) = 1
Probability (Queen) =
1
5
(ii) (a) Probability of picking an ace after the queen is removed:
Total outcomes = 4
Favorable outcome (Ace) = 1
Probability (Ace) =
1
4
(ii) (b) Probability of picking a queen after the queen is removed:
Total outcomes = 4
Favorable outcome (Queen) = 0
Probability (Queen) =
0
4
= 0
Result:
(i) Probability of picking the queen =
1
5
(ii) (a) Probability of picking an ace after the queen is removed =
1
4
(ii) (b) Probability of picking a queen after the queen is removed = 0
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