JEE Main 2021 (Online) 26th February Evening Shift | Probability Question 112 | Mathematics

A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting 9 heads, then the probability of getting 2 heads is :

$${{15} \over {{2^8}}}$$

$${{15} \over {{2^{12}}}}$$

$${{15} \over {{2^{13}}}}$$

$${{15} \over {{2^{14}}}}$$

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

-1

Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of A leaves remainder 2 when divided by 5 is :

$${2 \over 9}$$

$${1 \over 5}$$

$${122 \over 297}$$

$${97 \over 297}$$

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

-1

In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their chances of getting a particular chest disorder are 35%, 20% and 10% respectively. A person is chosen from the group at random and is found to be suffering from the chest disorder. The probability that the selected person is a smoker and non-vegetarian is :

$${{14} \over {45}}$$

$${{8} \over {45}}$$

$${{7} \over {45}}$$

$${{28} \over {45}}$$

PREVIOUS NEXT

Questions Asked from Probability (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions