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 $30$

  • A
    $\frac{10}{15}$
  • B
    $\frac{1}{25}$
  • C
    $\frac{1}{10}$
  • D
    $\frac{1}{15}$

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$A$ tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The table shows the results of $1000$ cases.
Distance (in $km$)less than $4000$$4000$ to $9000$$9001$ to $14000$more than $14000$
Frequency$20$$210$$325$$445$

If you buy a tyre of this company,what is the probability that:
$(i)$ it will need to be replaced before it has covered $4000 \, km$?
$(ii)$ it will last more than $9000 \, km$?
$(iii)$ it will need to be replaced after it has covered somewhere between $4000 \, km$ and $14000 \, km$?

Find the probability that a student of the class was born in August.

Eleven bags of wheat flour,each marked $5 \,kg$,actually contained the following weights of flour (in $kg$):
$4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00$
Find the probability that any of these bags chosen at random contains more than $5 \,kg$ of flour.

An 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.

In 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.

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