Probability of all 3 calculators being good = 0.971.
Step-by-step explanation:
We have , A sample of 3 different calculators is randomly selected from a group containing 17 that are bad and 36 that are good. In order to calculate that all 3 randomly selected calculators are good , let's calculate probability of all 3 being bad and subtracting value by 1. i.e. Probability of all 3 being good = 1 - Probability of all 3 being bad
⇒ Probability of all 3 being bad = [tex]\frac{17}{53}[/tex]×[tex]\frac{17}{53}[/tex]×[tex]\frac{17}{53}[/tex] = 4193/148877
∴Probability of all 3 being good = 1 - Probability of all 3 being bad
⇒ [tex]1 - \frac{4193}{148877}[/tex]
⇒[tex]\frac{144684}{148877}[/tex]
∴Probability of all 3 calculators being good = 0.971.
