Can the experimental probability of an event be greater than $1$? Justify your answer.

  • A
    Yes,it can be greater than $1$.
  • B
    No,it cannot be greater than $1$.
  • C
    It is always equal to $1$.
  • D
    It is always equal to $0$.

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$A$ box contains $100$ cards marked with numbers $1$ to $100$. If one card is drawn at random from the box,find the probability that the number on the card is: $(1)$ a multiple of $7$,$(2)$ a number smaller than $30$,$(3)$ a prime number.

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The distribution of the weights of $50$ students in a class is as follows:
Weight (in $kg$) Number of students
$50-52$$10$
$52-54$$12$
$54-56$$13$
$56-58$$9$
$58-60$$6$

Find the probability that a student selected at random weighs $56 \ kg$ or more.

Of the $50$ students in a class, $22$ are girls. The probability that a student who gets first rank is a boy is .............

Three coins are tossed simultaneously $500$ times with the following frequencies of different outcomes:
Number of heads $0$ $1$ $2$ $3$
Frequency $70$ $190$ $175$ $65$

Find the probability of getting $0, 1, 2$ or $3$ heads.
Verify that the sum of all these probabilities is $1$.

State whether each of the following statements is true or false:
$(1)$ The probability that the month of February in a leap year has $5$ Saturdays is $0$.
$(2)$ The probability of getting $51$ marks in a $100$ marks examination is $\frac{1}{101}$.

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