6. You randomly select 3 marbles from a bag with 10 marbles (3 blue, 4 red, and
ID: 3044992 • Letter: 6
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6. You randomly select 3 marbles from a bag with 10 marbles (3 blue, 4 red, and 3 green). The probability that 2 of your 3 marbles are red is equal to: Ichass s a. 0.15 b. 0.20 C. 0.25 d. 0.30 e. None of the above. Count of Cars Kids Cars 6 Grand Total Grand Total | 5 i 5 ! 5 5 I 5-1 -30 7. The above two-way table shows the relationship of cars to kids for a sample of 30 households. Based on this data, the probability of households with "less than 3 cars' and "not more than 4 kids" is equal to where wless than 3 cars" and "not more than 4 kids" are events. Iclass 41 a. 0.5333, mutually exclusive b. 0.5556, independent c. 0.5556, dependent d. 0.6667, dependent e. None of the above. 8. Samples from two filling machines yielded the following results Machine 1 (lbs.) Machine 2 (kg.) The output for machinevaried the most because the best measure for comparing the variability of these two machines equaled a. 1, 2.7538 b. 1, 47.8919 c. 2, 2.7538 d. 2, 7.5833 e. None of the above. (omitting units). ielass 2]Explanation / Answer
Q 6) Total number of balls is =(3+4+3) = 10
Since 3 balls can be drawn out of 10 in 10C3 ways, the exhaustive number of cases are 10C3 = 10!/3! 7! = 120
If 2 balls of the 3 drawn balls are to be red, these two balls should be drawn out of 4 balls which can be done in 4C2 ways, and the third ball can be drawn out of the remaining 10-4 =6 balls, which can be done in 6C1 ways. Since the number of favourable cases = 4C2 X 6C1 = 36
Hence required probability = 36/120 = 0.30
Answer: Option d) 0.30
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