Two coins are tossed $1000$ times and the outcomes are recorded as below:
Number of heads $2$ $1$ $0$
Frequency $200$ $550$ $250$

Based on this information,the probability for at most one head is

  • A
    $\frac{4}{5}$
  • B
    $\frac{1}{4}$
  • C
    $\frac{1}{5}$
  • D
    $\frac{3}{4}$

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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 not more than $5$ defective parts.

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