Q. 73.7( 9 Votes )

# A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.

Answer :

From the condition given in the question, it is clear that:

Probability of getting a six in a throw of die =

And, probability of not getting a six =

Let us assume,

Now, we have:

Probability that the 2 sixes come in the first five throws of the die

=

Also, Probability that the six come in the sixth throw

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A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective?

Mathematics - ExemplarState True or False for the statements in the Exercise.

If A, B and C are three independent events such that P(A) = P(B) = P(C) = p, then

P (At least two of A, B, C occur) = 3p^{2} – 2p^{3}

A random variable X has the following probability distribution:

Determine:

(i) K (ii) P (X < 3)

(iii) P (X > 6) (iv) P (0 < X < 3)

**OR**

Find the probability of throwing at most 2 sixes in 6 throws of a single die

Mathematics - Board PapersHow many times must a man toss a fair coin, so that the probability of having at least one head is more than 80%?

Mathematics - Board PapersAn experiment succeeds thrice as often as it fails. Find the probability that in the next five trials, there will be at least 3 successes.

Mathematics - Board Papers