$A$ game consists of spinning an arrow which comes to rest pointing at one of the regions ($1, 2$ or $3$). Are the outcomes $1, 2$ and $3$ equally likely to occur? Give reasons.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) No,the outcomes are not equally likely.
In the given figure,the circle is divided into three regions $1, 2,$ and $3$.
The region $3$ covers half of the circle (an area of $180^{\circ}$),while regions $1$ and $2$ each cover one-fourth of the circle (an area of $90^{\circ}$ each).
Since the areas of the regions are not equal,the probability of the arrow pointing to each region is not the same.
Therefore,the outcomes $1, 2,$ and $3$ are not equally likely.

Explore More

Similar Questions

$A$ balanced die is rolled. The probability of receiving a number smaller than $3$ is ..... .

In a packet containing $400$ screws,$120$ screws are defective. $A$ screw is picked up randomly from the packet. Then,the probability that the screw picked up is non-defective is .........

There are boards numbered $1$ to $50$ in a box. One board is selected at random. Find the probability that the number on the board is a prime number.

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability that the card drawn is a queen.

$A$ bag contains orange flavoured candies only. Rahi takes out one candy without looking into the bag. Then,the probabilities that the candy taken out is orange flavoured and is lemon flavoured are ........ respectively.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo