JEE Main 2020 (Online) 6th September Morning Slot | Probability Question 120 | Mathematics

Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive common difference, is :

$${{10} \over {99}}$$

$${{5} \over {33}}$$

$${{15} \over {101}}$$

$${{5} \over {101}}$$

JEE Main 2020 (Online) 4th September Evening Slot

MCQ (Single Correct Answer)

-1

In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A wins the game if he throws total a of 6 before B throws a total of 7 and B wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the players wins. The probability of A winning the game is :

$${5 \over {6}}$$

$${5 \over {31}}$$

$${31 \over {61}}$$

$${30 \over {61}}$$

JEE Main 2020 (Online) 3rd September Evening Slot

MCQ (Single Correct Answer)

-1

The probability that a randomly chosen 5-digit number is made from exactly two digits is :

$${{150} \over {{{10}^4}}}$$

$${{134} \over {{{10}^4}}}$$

$${{121} \over {{{10}^4}}}$$

$${{135} \over {{{10}^4}}}$$

JEE Main 2020 (Online) 3rd September Morning Slot

MCQ (Single Correct Answer)

-1

A dice is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4. Then the conditional probability that the score 4 has appeared atleast once is :

$${1 \over 8}$$

$${1 \over 9}$$

$${1 \over 4}$$

$${1 \over 3}$$

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