a) A class contain 10 men and 20 women of which half the men and half the women have brown eyes. Find the probability that a person chosen at random is a man or has brown eyes. b) A box contains4 bad and 6 good tubes. Two are drawn out together. One of them is tested and found to be good. What is the probability that the other one is also good? c) A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one without replacement. What is the probability that; 1. There are 2 red and 2 white flowers in the first four picked up? 2. The third one is red given the first 2 are white?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Q5.
a) A class contain 10 men and 20 women of which half the men and half the
women have brown eyes. Find the probability that a person chosen at random
is a man or has brown eyes.
b) A box contains4 bad and 6 good tubes. Two are drawn out together. One of
them is tested and found to be good. What is the probability that the other
one is also good?
c) A box contains 10 red and 12 white rose flowers. Flowers are picked up at
random one by one without replacement. What is the probability that;
1. There are 2 red and 2 white flowers in the first four picked up?
2. The third one is red given the first 2 are white?
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