Rectangle area is 3 x 2 = 6 m². With diameter 1 m, circle radius is 0.5 m, so circle area is π x (0.5)² = π / 4 m². The landing probability is (π / 4) / 6 = ...
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With replacement, tree branches into 4 paths then 4 paths each, creating 16 pairs (size 16). Without replacement, first draw branches into 4 paths then 3 paths each, creating 12 pairs (size 12).
Sample space has 8 numbers {1, 2, 3, 4, 5, 6, 7, 8}. The probabilities are: (i) P(8) = 1/8, (ii) P(odd) = 4/8 = 1/2, (iii) P(>2) = 6/8 = 3/4, (iv) P(<9) = 8/8 = 1, (v) P(multiple ...
The bag contains 3 distinct candies, giving a total of 3 possible outcomes. Since there is only 1 strawberry candy, the probability is 1 / 3 (approximately 0.333 or 33.3%).
Experiments (ii), (iii) and (v) have equally likely outcomes due to symmetry and equal chance. Experiments (i) and (iv) are not equally likely because mechanical conditions bias car starting and blue marbles outnumber red ones.