State whether the statement is true or false.

A bag contains 7 green balls and some red balls. If the probability of drawing a red ball from the bag is thrice that of a green ball, then the number of red balls in the bag are 21 and drawing a red ball is not an equally likely outcome. Atul at once said that "it is wrong".

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

True

False

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given, a bag contains 7 green balls and some red balls. If the probability of drawing a red ball from the bag is thrice that of a green ball, then the number of red balls in the bag are 21 and drawing a red ball is not an equally likely outcome.
The probability of an event to be occurred is the division of the number of favourable outcomes by the total number of outcomes that is,

Probability of an cvent = Number of favourable outcomes Total number of outcomes

The number of green balls in the bag is 7.
Find the number of red balls in the bag by multiplying the number of green balls by 3,

7 × 3 = 21

.
It is seen that the number of red balls is 21.
Therefore, it is an equally likely outcome.
Therefore, atul is wrong.
Hence, the statement is false and the correct option is 2.

Watch 3-min video & get full concept clarity