Answer: The required probability is [tex]\dfrac{1}{2500}.[/tex]
Step-by-step explanation: Given that in a shipment of toys from a manufacturer, where
the probability that a toy is defective is [tex]\frac{1}{50}.[/tex]
We are to find the probability that both toys are defective, if Marie selects 2 toys from a shipment.
Since the events of selecting toys from a shipment are independent of each other,
therefore, the required probability that both toys are defective, if Marie selects 2 toys from a shipment will be
[tex]P=\dfrac{1}{50}\times\dfrac{1}{50}=\dfrac{1}{2500}.[/tex]
Thus, the required probability is [tex]\dfrac{1}{2500}.[/tex]
