Home >
Probability >
CBSE_NCERT_EXEMPLAR_CH13 >
cdd08907-9a61-51b3-9190-1c5baf2dc713
Not the exact question you were looking for?
Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.
Probability
NCERT Exemplar Ch 13
CBSE_NCERT_EXEMPLAR_CH13
Grade 10
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?
Step-by-Step Solution
Key Concept: Total initial cards $= 5$.
Stepwise Solution:
(i) $P(\text{Queen}) = \dfrac{1}{5}$. [1.0 Mark]
(ii) After removing queen, remaining cards $= 4$. (a) $P(\text{Ace}) = \dfrac{1}{4}$. (b) $P(\text{Queen}) = \dfrac{0}{4} = 0$. [1.0 Mark]
Marking Scheme:
• Part (i) $P(\text{Queen}) = 1/5$: 1.0 Mark • Part (ii) $P(\text{Ace}) = 1/4$ and $P(\text{Queen}) = 0$: 1.0 Mark
Correct Answer:
Mathbee AI Mentor (Free Demo)
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.
Master Probability with Mathbee
Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.