What will be the probability of a point chosen at random on RS is on TU -A- 35 -40 -1-C- 20 -D- none of the above

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Geometric Probability

What will be ...

Question

What will be the probability of a point chosen at random on $¯ ¯¯¯¯¯ ¯ R S$ is on $¯ ¯¯¯¯¯¯ ¯ T U$ ?

35%

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40%

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20%

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none of the above.

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Solution

The correct option is C 20%
The formula of probability is =

P(E) = $\frac{F a v o u r a b l e n o . o f o u t c o m e s}{T o t a l n o o f o u t c o m e s}$

The probability of the point can be calculated as -

P (Point is on $¯ ¯¯¯¯¯¯ ¯ T U$ ) = $\frac{l e n g t h o f (¯ ¯¯¯¯¯ ¯ T U)}{l e n g t h o f (¯ ¯¯¯¯ ¯ R S)}$

= $\frac{2}{10}$ = 0.2.

$∴$ The probability can be written as $\frac{1}{5}$ , 0.2, or 20%.

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What will be the probability of a point chosen at random on ¯¯¯¯¯¯¯RS is on ¯¯¯¯¯¯¯¯TU ?

What will be the probability of a point chosen at random on $¯ ¯¯¯¯¯ ¯ R S$ is on $¯ ¯¯¯¯¯¯ ¯ T U$ ?