if 3 balls are randomly drawn from a bowl containing 6 white 5 black balls
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If 3 balls are “randomly drawn” from a bowl containing 6 white and 5 black balls, what is the probability that one of the balls is white and the other two black?
Concept:
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
Given:
3 balls are “randomly drawn” from a bowl containing 6 white and 5 black balls
Find:
what is the probability that one of the balls is white and the other two black?
Solution:
P(B)=⁶C₁.⁵C₂/¹¹C₃
=60/165=4/11
Therefore,the probability that one of the balls is white and the other two black=4/13
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