Answer:
0.999999988
Step-by-step explanation:
Given that you have a bag with 6 marbles. One marble is white. You reach the bag 100 times. After taking out a marble, it is placed back in the bag.
Because every time you replace the marble drawn, the probability for drawing a white marble in one draw is constant = p =5/6
No of trials n = 100
Here X no of times white marble is drawn is Binomial since there are two outcomes and also the probability is constant.
the probability of drawing a white marble at least once
=[tex]P(X\geq 1)\\=1-P(x=0)\\=1-(\frac{5}{6} )^{100} \\=0.999999988[/tex]
Required probability is almost 1.
