Question

Concepts of Probability
Consider the following statements and then choose the correct option.


Statement 1: Event A denotes the situation where Aman scores 100 in Mathematics and event B denotes the situation where he scores 75 in Science.


Statement 2: Event A denotes the situation where Aman scores greater than 90 in Mathematics and event B denotes the situation where he scores less than 70 in Mathematics.


1. In statement 1, both the events are disjoint, whereas in statement 2, both the events are independent.

2. Both the statements talk about disjoint events

3. Both the statements talk about independent events

4. In statement 1, both the events are independent, whereas in statement 2, both the events are disjoint.

(yean four mr se kon sa answer hai )

Answer 1

Answer:

In statement 1, both the events are independent, whereas in statement 2, both the events are disjoint.

Step-by-step explanation:

Answer 2

Answer:

Option (4) In statement 1, both the events are independent, whereas in statement 2, both the events are disjoint.

Step-by-step explanation:

Given in the question are two statements, each of which consists of two separate situations. They are as follows:

• Statement (1) Event A denotes the situation where Aman scores 100 in Mathematics and event B denotes the situation where he scores 75 in Science.
• Statement (2) Event A denotes the situation where Aman scores greater than 90 in Mathematics and event B denotes the situation where he scores less than 70 in Mathematics.

To Find: The correct conclusion among the four given options.

Explanation:

• In all the 4 given options, we come across two terms "Independent Events" and "Disjoint Events".
• In Probability, two events are Independent if the incidence of one event does not affect the probability of the other event, i.e., if the two events are independent, they can occur simultaneously together.
• On the other hand, if two events are considered Disjoint events, then the probability of both events occurring at the same time will be zero.
• So as per our Statement 1, Aman can school 100 in mathematics and 75 in science simultaneously since both the subjects are completely different and he must have given separate exams for these subjects. Hence, these two events are Independent.
• And as per statement 2, Aman can score a particular number in mathematics which will either be greater than 90 or can be less than 70 or can be anywhere between 70 and 90 but it cannot belong to all of the above 3 sets simultaneously. Thus, these events are disjoint.
• Coming to the conclusion, Option 4 is the correct answer.

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