JEE Main 2021 (Online) 17th March Evening Shift | Probability Question 105 | Mathematics

Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be $${1 \over 2}$$ and probability of occurrence of 0 at the odd place be $${1 \over 3}$$. Then the probability that '10' is followed by '01' is equal to :

$${1 \over 18}$$

$${1 \over 3}$$

$${1 \over 9}$$

$${1 \over 6}$$

JEE Main 2021 (Online) 17th March Morning Shift

MCQ (Single Correct Answer)

-1

Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is :

$${4 \over 9}$$

$${1 \over 2}$$

$${5 \over {12}}$$

$${17 \over {36}}$$

JEE Main 2021 (Online) 16th March Evening Shift

MCQ (Single Correct Answer)

-1

Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repetitions, be divisible by 3. Then probability of event A is equal to :

$${4 \over {9}}$$

$${9 \over {56}}$$

$${11 \over {27}}$$

$${3 \over {7}}$$

JEE Main 2021 (Online) 16th March Morning Shift

MCQ (Single Correct Answer)

-1

A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is :

$${{39} \over {50}}$$

$${{3} \over {4}}$$

$${{22} \over {425}}$$

$${{52} \over {867}}$$

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