Round destiny

There are 5 white and 10 red balls in the destiny. 4 balls will be drawn at random. What is the probability of the event "at least 2 spheres are white"?

Correct answer:

p =  0.8352

Step-by-step explanation:

$$\begin{gathered} p_1=5\mathrm{/}15\cdot 10\mathrm{/}14\cdot 9\mathrm{/}13\cdot 8\mathrm{/}12={\displaystyle \frac{10}{91}}\doteq 0.1099 \\ {p}_2=5\mathrm{/}15\cdot 4\mathrm{/}14\cdot 10\mathrm{/}13\cdot 9\mathrm{/}12={\displaystyle \frac{5}{91}}\doteq 0.0549 \\ p=1-(p_1+p_2)=1-(0.1099+0.0549)=0.8352 \end{gathered}$$

Try another example

Related math problems and questions:

• Three colors
  Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.
• Balls
  From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red?
• White and black balls
  There are 7 white and 3 black balls in an opaque pocket. The balls are the same size. a) Randomly pull out one ball. What is the probability that it will be white? We pull out one ball, see what color it is and return it to the pocket. Then we pull out th
• Balls
  The urn is 8 white and 6 black balls. We pull 4 randomly balls. What is the probability that among them will be two white?
• Raffle
  There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least 4 winnings for a group of people who have bought 5 tickets together?
• Components
  In the box are 8 white, 4 blue and 2 red components. What is the probability that we pull one white, one blue and one red component without returning?
• Hazard game
  In the Sportka hazard game, 6 numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess 5 numbers correctly) b) the third prize (we guess 4 numbers correctly)?
• Probability of intersection
  Three students have a probability of 0.7,0.5 and 0.4 to graduated from university respectively. What is the probability that at least one of them will be graduated?
• One green
  In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
• A box
  A box contains 6 red balls, 5 blue, and 4 white balls. Find the probability of drawing a) red ball b) non-white ball.
• Dices throws
  What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
• We roll
  We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
• Events
  Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.
• The university
  At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the
• Red balls
  In the bag there are 3 red, 12 blue and 8 green balls. How many red balls we must be attached to the bag if we want the probability of pulling out the red balls was 20%?
• The box
  The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What probability will we take out one chocolate, one fruit, and one menthol candy without a return?
• Green - Red
  We have 5 bags. Each consist one green and 2 red balls. From each we pull just one ball. What is the probability that we doesn't pull any green ball?