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List of top Mathematics Questions on Bernoulli Trials and Binomial Distribution asked in CBSE Class XII

A box contains 4 red, 5 blue and 1 green marble. A child randomly takes out a marble from the box, notes down the colour and puts it back in the box. If the activity is repeated 3 times, what is the probability that at least one marble is red ?
  • CBSE Class XII - 2026
  • CBSE Class XII
  • Mathematics
  • Bernoulli Trials and Binomial Distribution
A survey was conducted on the patients who have undergone knee replacement surgeries. It was found that, Robotic Knee replacement surgeries have 90% success rate. On a particular day, robotic surgery was performed on three patients, A, B and C, one after the other. Assuming that the success and failure of each surgery is independent of each other, find the probability that :
(i) exactly one surgery is successful,
(ii) at most two surgeries are successful.
  • CBSE Class XII - 2026
  • CBSE Class XII
  • Mathematics
  • Bernoulli Trials and Binomial Distribution