Answer:
3/1771
Step-by-step explanation:
Probability is the chance or likelihood that an event will occur.
Probability = expected outcome/total outcome
Total outcome = total number of marbles
Total outcome = 6+7+10 = 23marbles
If four marbles are drawn, the probability that they are all red is expressed as;
Pr(picking the first red marble) = 6/23
Since it is without replacement, the total marble becomes 22
Pr(picking the second) = 5/22
Pr(picking the third marbles = 4/21
Pr(picking the 4th marble) = 3/20
Note that the number of red marbles keep reducing and the total marble keep reducing as well.
Pr(picking the 4marbles) = 6/23×5/22×4/21×3/20 (we multiplied because or is an independent events)
Pr(picking the 4marbles) = 360/212520
Pr(picking 4 red marbles) = 72/42504 =36/21,252
= 9/5313
= 3/1771
Hence the probability of picking 4 marbles at random without replacement is 3/1771
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