MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

' $A$ ' and ' $B$ ' each have a bag that contains one ball of each of the colours blue, green, orange, red and violet. ' $A$ ' randomly selects one ball from his bag and puts it into $B^{'} s$ bag. ' $B$ ' then randomly selects one ball from his bag and puts it into $A^{'} s$ bag. The probability that after this process the contents of the two bags are the same, is -

50% studentsanswered this correctly

Important Questions on Probability

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 12

A bowl has

6

red marbles and

3

green marbles. The probability that a blind folded person will draw a red marble on the second draw from the bowl without replacing the marble from the first draw, is -

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 13

Two cards are drawn from a well shuffled pack of

52

playing cards one by one. If

$A :$ the event that the second card drawn is an ace and

$B :$ the event that the first card drawn is an ace card.

then which of the following is true?

EASY

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 14

An Urn contains '

m

' white and '

n

' black balls. All the balls except for one ball, are drawn from it. The probability that the last ball remaining in the Urn is white, is -

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 15

Three numbers are chosen at random without replacement from

\{1, 2, 3, \dots \dots, 10\}

. The probability that the minimum of the chosen numbers is

3

or their maximum is

7

is -

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 16

If atleast one child in a family with

3

children is a boy then the probability that

2

of the children are boys, is -

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 17

7

persons are stopped on the road at random and asked about their birthdays. If the probability that

3

of them are born on Wednesday,

2

on Thursday and the remaining

2

on Sunday is

\frac{K}{7^{6}}

, then

K

is equal to -

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 18

A box has four dice in it. Three of them are fair dice but the fourth one has the number five on all of its faces. A die is chosen at random from the box and is rolled three times and shows up the face five on all the three occasions. The chance that the die chosen was a rigged die, is -

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 11 - Probability>EXERCISE-1>Q 19

Mr. Dupont is a professional wine taster. When given a French wine, he will identify it with probability

0.9

correctly as French and will mistake it for a Californian wine with probability

0.1

. When given a Californian wine, he will identify it with probability

0.8

correctly as Californian and will mistake it for a French wine with probability

0.2

. Suppose that Mr. Dupont is given ten unlabelled glasses of wine, three with French and seven with Californian wines. He randomly picks a glass, tries the wine and solemnly says : "French". The probability that the wine he tasted was Californian, is nearly equal to -

Important Questions on Probability

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