Choose the correct answer from the given four options.
A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective?
  • A$\Big(\frac{9}{10}\Big)^5$
  • B$\frac{1}{2}\Big(\frac{9}{10}\Big)^4$
  • C$\frac{1}{2}\Big(\frac{9}{10}\Big)^5$
  • D$\Big(\frac{9}{10}\Big)^5+\frac{1}{2}\Big(\frac{9}{10}\Big)^4$
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
    View Solution
  • 2
    Choose the correct answer from the given four options.
    Two events E and F are independent. If $\text{P}(\text{E})=0.3,\text{P}(\text{E}\cup\text{F})=0.5,$ then $\text{P}\Big(\frac{\text{E}}{\text{F}}\Big)-\text{P}\Big(\frac{\text{F}}{\text{E}}\Big)$ equal:
    View Solution
  • 3
    Two persons $A$ and $B$ take turns in throwing a pair of dice.The first person to throw $9$ from both dice will be awarded the prize. If $A$ throws first, then the probability that $B$ wins the game is.
    View Solution
  • 4
    If X follows a binomial distribution with parameter $\text{n}=100$ and $\text{p}=\frac{1}{3},$ then P(X = r) is maximum when r =
    View Solution
  • 5
    A four - digit number is formed by using the digits 1, 2, 4, 8 and 9 without repitition. If one number is selected from those numbers, then what is the probability that it will be an odd number?
    View Solution
  • 6
    India play two matches each with West indies and Australia. In any match the probability of india getting $0,1$ and $2$ points are $0.45, 0.05$ and $0.50$ respectively. Assuming that the outcomes are indepecdent, the probability of india getting at least $7$ point.s is
    View Solution
  • 7
    If $\text{P(A)}=\frac{7}{13},\text{P(B)}=\frac{9}{13}$ and $\text{P}(\text{A}\cap\text{B})=\frac{4}{13}.$ then, $\text{P}(\overline{\text{A}}|\text{B})=$
    View Solution
  • 8
    A bag contain 4 white and 2 black balls. Two balls are drawn at random. The probability that they are of the same colour is ________.
    View Solution
  • 9
    A coin is tossed three times. If events A and B are defined as A = Two heads come, B = Last should be head, Then, A and B are
    View Solution
  • 10
    One ticket is drawn from a bag containing 70 tickets numbered 1 to 70 Find the probability that it is a multiple of 5 or 7:
    View Solution