Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 9

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Three players $A, B, C$ toss a coin in turn till head shows. Let $p$ be the probability that the coin shows a head. Let $α, β, γ$ be respectively the probabilities that $A, B$ and $C$ get first head then

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Important Questions on Probability

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 10

Let

S = \{1, 2, \dots 100\}

. The probability of choosing an integer

k, 1 \leq k \leq 100

is proportional to

\log k

. The conditional probability of choosing the integer

2

, given that an even integer is chosen is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 11

If

m

things are distributed among

a

men and

b

women. Then the probability that number of things received by men is odd is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 12

If

n

biscuits be distributed at random amongst

N

beggars. The chance that a particular beggar receives

r (< n)

biscuits, is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 13

A consignment of

15

record players contains

4

defectives. The record players are selected at random, one by one, and examined. The one is examined, are not put back. Then the probability that

9

th one examined is the last defective, is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 14

A team of

8

couples, (husband and wife) attend a lucky draw in which

4

persons picked up for a prize. The probability that there is at least one couple is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 15

Three numbers are to be selected at random without replacement from the set of numbers

\{1, 2, 3, . . . . n\}

. The conditional probability that the third number lies between the first two, if the first number is known to be smaller than the second is :

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 16

One hundred identical coins each with probability

P

of showing up Heads are tossed once. If

0 < P < 1

and the probability of Heads showing on

50

coins is equal to that of Heads showing on

51

coins, the value of P is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 1

If

A

and

B

are two independent events such that

P (\bar{A} \cap B) = \frac{2}{15}

and

P (A \cap \bar{B}) = \frac{1}{6}

, then

P (B)

is