Question
A contains X green Balls, '7 Red Balls, and 5 Yellow
Balls. The probability to pick Green Ball at random is 3/5. Another Bag B contains ‘6 green Balls, ‘x – 3’ Yellow Balls and x - 4' Red Balls. If two balls are picked one after the other from Bag B at random then what is the probability for the Balls to be Red?Solution
x/(7+x+5) = 3/5 X = 18 Now, In Bag B: Red balls = 18 – 4 = 14 Yellow balls = 18 – 3 = 15 Green ball = 6 Required Probability = 14/35 × 15/35 = 6/35
A man travels the first part of his journey at a speed of 40 km/h and the second part at a speed of 60 km/h. What is the average speed of the man?
If a = b in the equation of ellipse x²/a² + y²/b² = 1, then the curve becomes:
765 ÷ 25 × 100 ÷ 20 + 13 = x3 + 41, find 'x'
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I. 3x2 – 15x + 18 = 0
II. 2y2 – 40y + 198 = 0
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