Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 6

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

The probablity that a $50$ year old man will be alive till age $60$ is $0.83$ and the probabilty that a $45$ year old woman will be alive till age $55$ is $0.87$ . Then

50% studentsanswered this correctly

Important Questions on Probability II

HARD

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 7

Which of the following statement is/are correct?

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 8

A bag initially contains

1

red and

2

blue balls. An experiment consisting of selecting a ball at random, noting its colour and replacing it together with an additional ball of the same colour. If three such trials are made, then,

HARD

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 9

P (A) = \frac{3}{8}; P (B) = \frac{1}{2}; P (A \cup B) = \frac{5}{8}

, which of the following do/does hold good?

HARD

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 10

In a precision bombing attack, there is a

50 %

chance that any one bomb will strike the target. Two direct hits are required to destroy the target completely. The number of bombs which should be dropped to give a

99 %

chance or better of completely destroying the target can be

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JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 11

If

A

and

B

are two events, then which one of the following is/are always true?

HARD

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 12

If

A

and

B

are two independent events such that

P (A) = \frac{1}{2}, P (B) = \frac{1}{5}

, then

HARD

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 13

If A and B are two independent events such that

P (A) = \frac{1}{2}, P (B) = \frac{1}{5}

, then

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 14 - Probability II>Exercises>Q 14

Two buses

A

and

B

are scheduled to arrive at a town central bus station at noon. The probability that bus

B

will be late is

\frac{7}{25}

and the probability that bus

A

is late is

0.2

and the probability that the bus

B

is late given that bus

A

is late is

\frac{9}{10}

. Then,