$A$ recent survey found that the ages of workers in a factory is distributed as follows:
Age (in years) $20-29$ $30-39$ $40-49$ $50-59$ $60$ and above
Number of workers $38$ $27$ $86$ $46$ $3$

If a person is selected at random,find the probability that the person is under $60$ but over $39$ years.

  • A
    $0.16$
  • B
    $0.66$
  • C
    $0.76$
  • D
    $0.96$

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Bulbs are packed in cartons,each containing $40$ bulbs. Seven hundred cartons were examined for defective bulbs,and the results are given in the following table:
Number of defective bulbs $0$ $1$ $2$ $3$ $4$ $5$ $6$ more than $6$
Frequency $400$ $180$ $48$ $41$ $18$ $8$ $3$ $2$

One carton was selected at random. What is the probability that it has less than $4$ defective bulbs?

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

The maximum value of the probability of any event is ...........

Over the past $200$ working days,the number of defective parts produced by a machine is given in the following table:
Number of defective parts $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ $13$
Days $50$ $32$ $22$ $18$ $12$ $12$ $10$ $10$ $10$ $8$ $6$ $6$ $2$ $2$

Determine the probability that tomorrow's output will have more than $13$ defective parts.

$A$ 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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