Math Problem Statement
१६. एउटा बाकसमा 6 ओटा राता र ४ ओटा सेता उस्तै र उत्रै बलहरू राखिएका छन् ।
उक्त बाकसबाट दुइओटा बलहरू एकपछि अर्को नहेरीकन (पुनः नराखिकन) निकालिएका छन् ।
A box contains 6 red and 8 white balls of the same shape and size. Two balls are drawn randomly one after another without replacement
from the box.
क) A र B दुईओटा अनाश्रित घटनाहरू हुन् भने P(A∩B) पत्ता लगाउने सुत्र ( लेख्नुहोस् ।
(१) A and B are two independent events, write the formula to find P(A∩B).
(ख) माथिको कथनबाट प्राप्त हुने सम्भावित परिणामहरूको सम्भाव्यतालाई वृक्ष चित्रमा देखाउनुहोस् । (२)
Show the probability of possible outcomes of the above statement in a tree diagram.
(ग) दुवै वल एउटै रङका पर्ने सम्भाव्यता पत्ता लगाउनुहोस् । Find the probability of getting both balls of same colour. (१)
घ) दुवै वल एउटै रङ्का पर्ने सम्भाव्यता र दुवै वल फरक रङ्का पर्ने सम्भाव्यता
मध्ये कुन चाहिँको सम्भाव्यता बढी हुन्छ ? गणना गर्नुहोस् । (१) Which one probability is more either both ball are same colour or both balls are different colour? Calculate it.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Formulas
Probability of independent events: P(A ∩ B) = P(A) * P(B)
Theorems
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Suitable Grade Level
Grades 9-10
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