On one page of a telephone directory,there were $200$ telephone numbers. The frequency distribution of their unit place digit (for example,in the number $25828573$,the unit place digit is $3$) is given in the table below:
Digit $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ Frequency $22, 26, 22, 22, 20, 10, 14, 28, 16, 20$
Without looking at the page,a number is chosen at random. What is the probability that the digit in its unit place is $6$?
| Digit | $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ |
| Frequency | $22, 26, 22, 22, 20, 10, 14, 28, 16, 20$ |
Without looking at the page,a number is chosen at random. What is the probability that the digit in its unit place is $6$?
- A$0.10$
- B$1.13$
- C$2.15$
- D$0.07$
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Similar Questions
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 $30$
| Blood group | Number of students |
| $A$ | $9$ |
| $B$ | $6$ |
| $AB$ | $3$ |
| $O$ | $12$ |
| Total | $30$ |
Easy
View SolutionThe distance (in $km$) of $40$ engineers from their residence to their place of work were found as follows.
$5$ $3$ $10$ $20$ $25$ $11$ $13$ $7$ $12$ $31$ $19$ $10$ $12$ $17$ $18$ $11$ $32$ $17$ $16$ $2$ $7$ $9$ $7$ $8$ $3$ $5$ $12$ $15$ $18$ $3$ $12$ $14$ $2$ $9$ $6$ $15$ $15$ $7$ $6$ $12$
What is the empirical probability that an engineer lives:
$(i)$ less than $7 \, km$ from her place of work?
$(ii)$ more than or equal to $7 \, km$ from her place of work?
$(iii)$ within $\frac{1}{2} \, km$ from her place of work?
| $5$ | $3$ | $10$ | $20$ | $25$ | $11$ | $13$ | $7$ | $12$ | $31$ |
| $19$ | $10$ | $12$ | $17$ | $18$ | $11$ | $32$ | $17$ | $16$ | $2$ |
| $7$ | $9$ | $7$ | $8$ | $3$ | $5$ | $12$ | $15$ | $18$ | $3$ |
| $12$ | $14$ | $2$ | $9$ | $6$ | $15$ | $15$ | $7$ | $6$ | $12$ |
What is the empirical probability that an engineer lives:
$(i)$ less than $7 \, km$ from her place of work?
$(ii)$ more than or equal to $7 \, km$ from her place of work?
$(iii)$ within $\frac{1}{2} \, km$ from her place of work?
Medium
View SolutionAn insurance company selected $2000$ drivers at random in a particular city to find a relationship between age and accidents. The data obtained are given in the following table:
Age of drivers (in years) $0$ accidents $1$ accident $2$ accidents $3$ accidents Over $3$ accidents $18-29$ $440$ $160$ $110$ $61$ $35$ $30-50$ $505$ $125$ $60$ $22$ $18$ Above $50$ $360$ $45$ $35$ $15$ $9$
Find the probabilities of the following events for a driver chosen at random from the city:
$(i)$ Being $18-29$ years of age and having exactly $3$ accidents in one year.
$(ii)$ Being $30-50$ years of age and having one or more accidents in a year.
$(iii)$ Having no accidents in one year.
| Age of drivers (in years) | $0$ accidents | $1$ accident | $2$ accidents | $3$ accidents | Over $3$ accidents |
| $18-29$ | $440$ | $160$ | $110$ | $61$ | $35$ |
| $30-50$ | $505$ | $125$ | $60$ | $22$ | $18$ |
| Above $50$ | $360$ | $45$ | $35$ | $15$ | $9$ |
Find the probabilities of the following events for a driver chosen at random from the city:
$(i)$ Being $18-29$ years of age and having exactly $3$ accidents in one year.
$(ii)$ Being $30-50$ years of age and having one or more accidents in a year.
$(iii)$ Having no accidents in one year.
Medium
View SolutionFind the probability that a student of the class was born in August.
Medium
View Solution$A$ coin is tossed $1000$ times with the following frequencies:
Head : $455$ Tail : $545$
Compute the probability for each event.
Head : $455$ Tail : $545$
Compute the probability for each event.
Medium
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