Q. 143.7( 38 Votes )

# Given that the two numbers appearing on throwing two dice are different. Find the probability of the event ‘the sum of numbers on the dice is 4’.

Answer :

The sample space of the given experiment is:

Let E be the event that ‘the sum of numbers on the dice is 4’ and F be the event that ‘the two numbers appearing on throwing the two dice are different’.

⇒ E = {(1, 3), (2, 2), (3, 1)}

And

⇒ E ∩ F = {(1, 3), (3, 1)}

……….(i)

Now, we know that

By definition of conditional probability,

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State True or False for the statements in the Exercise.

If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then

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Fill in the blanks in the following question:

If A and B are two events such that

and , then p = _____

Mathematics - ExemplarA speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact?

Do you think that statement of B is true?

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