Question
Asked Mar 6, 2019
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You toss  a coin and randomly select a number from 0 to 9.  What is the probability of getting tails and selecting a 2 ?

Choose the correct probability below.

(a) 0.05

(b) 0.25

(c) 0

(d) 0.95

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Expert Answer

Step 1

Independent events:

Two or more events are said to be independent if occurrence of one does not affect the occurrence of other. In other words, it can be said that, independent events do not affect the probability of occurrence of one another. That is, independent events can happen at the same time.

Let A and B are two events, then the probability of occurrence of the event A will not affect the probability of occurrence of the event B.

Example:

Getting a head in the toss of a coin and getting number 1 from 0 to 9.

The union, intersection and conditional probabilities of independent events are given below:

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Step 2

Find the probability of getting a tail and selecting a 2:

Here, it is given that a coin is tossed and a number is randomly selected from 0 to 9.

Consider the event of getting a tail when a coin is tossed as A.

Consider the event of selecting a 2 from the numbers 0 to 9 as B.

Here, the events A and B are independent. That is, the happening of event A does not affect the happening of e...

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