To know the opinion of the students about the subject statistics,a survey of $200$ students was conducted. The data is recorded in the following table.
Opinion Number of students
Like $135$
Dislike $65$

Find the probability that a student chosen at random:
$(i)$ likes statistics,$(ii)$ does not like it.

  • A
    $\frac{27}{40}, \frac{13}{40}$
  • B
    $\frac{29}{50}, \frac{13}{50}$
  • C
    $\frac{27}{80}, \frac{13}{80}$
  • D
    $\frac{27}{95}, \frac{13}{36}$

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Similar Questions

Two coins are tossed simultaneously $500$ times,and we get:
Two heads : $105$ times
One head : $275$ times
No head : $120$ times
Find the probability of occurrence of each of these events.

The following frequency distribution table shows the blood groups of $30$ students of a class. Use this table to determine the probability that a student of this class,selected at random,has blood group $AB$.
Blood group Number of students
$A$ $9$
$B$ $6$
$AB$ $3$
$O$ $12$
Total $30$

The record of a weather station shows that out of the past $250$ consecutive days,its weather forecasts were correct $175$ times.
$(i)$ What is the probability that on a given day it was correct?
$(ii)$ What is the probability that it was not correct on a given day?

Three coins are tossed simultaneously $200$ times with the following frequencies of different outcomes:
Outcome $3$ heads $2$ heads $1$ head No head
Frequency $23$ $72$ $77$ $28$

If the three coins are simultaneously tossed again,compute the probability of $2$ heads coming up.

An organisation selected $2400$ families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:
Monthly income (in Rs.) / Vehicles per family $0$ $1$ $2$ Above $2$
Less than $7000$ $10$ $160$ $25$ $0$
$7000 - 10000$ $0$ $305$ $27$ $2$
$10000 - 13000$ $1$ $535$ $29$ $1$
$13000 - 16000$ $2$ $469$ $59$ $25$
$16000$ or more $1$ $579$ $82$ $88$

Suppose a family is chosen. Find the probability that the family chosen is:
$(i)$ Earning Rs. $10000 - 13000$ per month and owning exactly $2$ vehicles.
$(ii)$ Earning Rs. $16000$ or more per month and owning exactly $1$ vehicle.
$(iii)$ Earning less than Rs. $7000$ per month and does not own any vehicle.
$(iv)$ Earning Rs. $13000 - 16000$ per month and owning more than $2$ vehicles.
$(v)$ Owning not more than $1$ vehicle.

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