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Answer:
Probability of drawing four balls numbered 1, 4, 8, and 6 from a 8 ball bucket = 0.041667
Step-by-step explanation:
Probability is of the ratio of number of favorable outcomes to the total number of outcomes.
Here outcome is drawing 4 balls from a 8 ball bucket.
Favorable outcome is randomly drawing four balls numbered 1, 4, 8, and 6.
Total number of ways in which 4 balls from a 8 ball bucket can be drawn is given by 8 x 7 x 6 x 5 = 1680.
Total number of ways in which drawing four balls numbered 1, 4, 8, and 6 from a 8 ball bucket is given by 8C₄
Probability of drawing four balls numbered 1, 4, 8, and 6 from a 8 ball bucket is given by
Probability of drawing four balls numbered 1, 4, 8, and 6 from a 8 ball bucket = 0.041667
Answer:
Step-by-step explanation:
The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 30° angle is (12√6)÷2 = 6/√6.
The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.
The sides of a 45-45-90 triangle are in the ratio 1:1:√2
The hypotenuse is 3√2, so the side opposite the 45° angle is 3.
x = 3
