Ask all the students in your class to write a $3-$digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by $3$? Remember that a number is divisible by $3$,if the sum of its digits is divisible by $3$.
- A$\frac{1}{3}$
- B$\frac{2}{3}$
- C$\frac{1}{2}$
- D$\frac{1}{4}$
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Similar Questions
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.
| 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.
Medium
View Solution$A$ die is thrown $1000$ times with the frequencies for the outcomes $1, 2, 3, 4, 5$ and $6$ as given in the following table:
Outcome $1$ $2$ $3$ $4$ $5$ $6$ Frequency $179$ $150$ $157$ $149$ $175$ $190$
Find the probability of getting each outcome.
| Outcome | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| Frequency | $179$ | $150$ | $157$ | $149$ | $175$ | $190$ |
Find the probability of getting each outcome.
Medium
View SolutionTo 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.
| 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.
Medium
View SolutionTwo 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.
Two heads : $105$ times
One head : $275$ times
No head : $120$ times
Find the probability of occurrence of each of these events.
Medium
View SolutionIn a cricket match,a batswoman hits a boundary $6$ times out of $30$ balls she plays. Find the probability that she did not hit a boundary.
Medium
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