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Let us say that you have a box containing 3 red pens, 4 black pens and 2 green pens. You pick a pen (without looking) from the box and put it back. Then your friend does the same. (i) What are the possible outcomes of the pen colours? Can you draw a tree diagram representing the possible outcomes? (ii) Can you use the tree diagram to guess the probability that both you and your friend pick pens of the same colour?
Total pens = 3 Red + 4 Black + 2 Green = 9. P(R) = 3/9, P(B) = 4/9, P(G) = 2/9. (i) Possible color pairs: RR, RB, RG, BR, BB, BG, GR, GB, GG (9 color outcomes). Tree Diagram branches split from Start into R, B, G for your pick, then each branches into R, B, G for your friend's pick. (ii) Same colourRead more
Total pens = 3 Red + 4 Black + 2 Green = 9. P(R) = 3/9, P(B) = 4/9, P(G) = 2/9.
(i) Possible color pairs:
RR, RB, RG, BR, BB, BG, GR, GB, GG (9 color outcomes).
Tree Diagram branches split from Start into R, B, G for your pick, then each branches into R, B, G for your friend’s pick.
(ii) Same colour means RR, BB or GG:
P(RR) = (3/9) x (3/9) = 9/81
P(BB) = (4/9) x (4/9) = 16/81
P(GG) = (2/9) x (2/9) = 4/81
P(same colour) = (9 + 16 + 4) / 81 = 29 / 81 (approx 0.358).
For more NCERT Solutions of Class 9 Ganita Manjari Chapter 7 The Mathematics of Maybe: Introduction to Probability Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-7/
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The spectators giving a standing ovation indicates that they were thoroughly amazed and inspired by what had transpired on the track. Instead of witnessing an ordinary sprint to the line, they were treated to an astonishing act of universal compassion. Standing to applaud was the audience's spontaneRead more
The spectators giving a standing ovation indicates that they were thoroughly amazed and inspired by what had transpired on the track. Instead of witnessing an ordinary sprint to the line, they were treated to an astonishing act of universal compassion. Standing to applaud was the audience’s spontaneous tribute to honor the sheer brilliance of human empathy displayed by all nine competitors.
For more NCERT Solutions of Class 9 English Kaveri Chapter 5 Nine Gold Medals Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/english/kaveri-chapter-5/
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Holding hands signifies a deep feeling of unity, brotherhood and collective empathy. This simple yet powerful gesture shows that the athletes discarded personal ambitions to stand united with their injured peer. It represents complete emotional alignment and mutual respect, showing the world that coRead more
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For more NCERT Solutions of Class 9 English Kaveri Chapter 5 Nine Gold Medals Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/english/kaveri-chapter-5/
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All nine runners were awarded gold medals because they crossed the finishing line at the exact same moment, hand-in-hand as a unified team. More significantly, the organizers recognized that their selfless act of helping a fallen peer embodied the highest ideals of the Special Olympics. Their empathRead more
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For more NCERT Solutions of Class 9 English Kaveri Chapter 5 Nine Gold Medals Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/english/kaveri-chapter-5/
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When the nine athletes reached the finishing line together, they experienced profound joy, mutual warmth and deep pride. The phrase “nine beaming faces” clearly portrays their sheer happiness and emotional satisfaction. Having chosen solidarity and empathy over fierce personal rivalry, they felt a transcendent sense of achievement, knowing that their collective compassion had turned the race into an unforgettable shared victory for all.
For more NCERT Solutions of Class 9 English Kaveri Chapter 5 Nine Gold Medals Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/english/kaveri-chapter-5/
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