Q. 74.0( 48 Votes )

# Two coins are tossed once, where

(i) E : tail appears on one coin, F : one coin shows head

(ii) E : no tail appears, F : no head appears

Determine P(E|F)

Answer :

The sample space of the given experiment will be:

S = {HH, HT, TH, TT}

(i) Here, E: tail appears on one coin

And F: one coin shows head

⇒ E = {HT, TH} and F = {HT, TH}

⇒ E ∩ F = {HT, TH}

So,

Now, we know that

By definition of conditional probability,

⇒ P(E|F) = 1

(ii) Here, E: no tail appears

And F: no head appears

⇒ E = {HH} and F = {TT}

⇒ E ∩ F = ϕ

So,

Now, we know that

By definition of conditional probability,

⇒ P(E|F) = 0

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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

Mathematics - Exemplar

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?

Mathematics - Board Papers