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There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?
  • a)
    5/33
  • b)
    3/33
  • c)
    3/11
  • d)
    3/5
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
There are 4 orange balls, 5 blue balls and 3 white balls are there in ...
To find the probability of getting both balls being blue, we need to find the number of favorable outcomes (selecting 2 blue balls) and divide it by the total number of possible outcomes (selecting any 2 balls from the bag).

Favorable Outcomes:
We have 5 blue balls in the bag. When we select the first ball, there are 5 blue balls out of a total of 12 balls (4 orange + 5 blue + 3 white). After selecting the first blue ball, we have 4 blue balls left out of a total of 11 remaining balls. Therefore, the number of favorable outcomes is 5 * 4 = 20.

Total Possible Outcomes:
To find the total number of possible outcomes, we need to calculate the number of ways to select 2 balls out of 12. This can be done using the combination formula, which is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be selected.

In this case, n = 12 (total number of balls) and r = 2 (number of balls to be selected). Plugging in these values, we get:
12C2 = 12! / (2!(12-2)!)= 12! / (2! * 10!) = (12 * 11) / (2 * 1) = 66.

Probability:
The probability of getting both balls being blue is given by the number of favorable outcomes divided by the total number of possible outcomes.

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 20 / 66
Probability = 5 / 33

Therefore, the correct answer is option A) 5/33.
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Community Answer
There are 4 orange balls, 5 blue balls and 3 white balls are there in ...
Getting both blue 5/12 * 4/11 = 5/33
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Read the following text and answer the following questions on the basis of the same:Microwave oven:The spectrum of electromagnetic radiation contains a part known as microwaves. These waves have frequency and energy smaller than visible light and wavelength larger than it. What is the principle of a microwave oven and how does it work ? Our objective is to cook food or warm it up. All food items such as fruit, vegetables, meat, cereals, etc., contain water as a constituent. Now, what does it mean when we say that a certain object has become warmer? When the temperature of a body rises, the energy of the random motion of atoms and molecules increases and the molecules travel or vibrate or rotate with higher energies. The frequency of rotation of water molecules is about 2.45 gigahertz (GHz). If water receives microwaves of this frequency, its molecules absorb this radiation, which is equivalent to heating up water. These molecules share this energy with neighbouring food molecules, heating up the food. One should use porcelain vessels and non metal containers in a microwave oven because of the danger of getting a shock from accumulated electric charges. Metals may also melt from heating. The porcelain container remains unaffected and cool, because its large molecules vibrate and rotate with much smaller frequencies, and thus cannot absorb microwaves. Hence, they do not get eaten up. Thus, the basic principle of a microwave oven is to generate microwave radiation of appropriate frequency in the working space of the oven where we keep food. This way energy is not wasted in heating up the vessel. In the conventional heating method, the vessel on the burner gets heated first and then the food inside gets heated because of transfer of energy from the vessel. In the microwave oven, on the other hand, energy is directly delivered to water molecules which are shared by the entire food.Q. Why should one use porcelain vessels and non- metal containers in a microwave oven ?

There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?a)5/33b)3/33c)3/11d)3/5Correct answer is option 'A'. Can you explain this answer?
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