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Answer :
To find the probability of picking a 60-watt bulb from the box, divide the number of 60-watt bulbs by the total number of bulbs. There are nine 60-watt light bulbs and twenty bulbs in total, making the probability 45%.
The student is asking about the probability of selecting a specific power rating of a light bulb from a box containing light bulbs of various power ratings. To determine the probability of picking a 60-watt light bulb from the box, we need to divide the number of 60-watt light bulbs by the total number of light bulbs in the box.
There are nine 60-watt light bulbs in the box, and the total number of light bulbs is six 25-watt plus nine 60-watt plus five 100-watt, which sums up to 20 total bulbs. The probability of picking a 60-watt bulb is calculated as:
Probability = Number of 60-watt bulbs / Total number of bulbs = 9 / 20
The answer is 9 out of 20, or 45% if converted to percentage.
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The problem involves calculating the probability of randomly selecting a 60-watt light bulb from a box containing different wattage bulbs. The box contains six 25-watt light bulbs, nine 60-watt light bulbs, and five 100-watt light bulbs.
To calculate the probability of randomly selecting a 60-watt light bulb, we need to consider the total number of light bulbs and the number of 60-watt light bulbs in the box.
The total number of light bulbs in the box is the sum of the individual counts for each wattage: 6 (25-watt bulbs) + 9 (60-watt bulbs) + 5 (100-watt bulbs) = 20 bulbs.
The probability of randomly selecting a 60-watt light bulb can be calculated by dividing the number of 60-watt bulbs by the total number of bulbs:
Probability = Number of 60-watt bulbs / Total number of bulbs
Probability = 9 / 20
Calculating this expression, we find that the probability of randomly selecting a 60-watt light bulb is 0.45, or 45% when expressed as a percentage.
In conclusion, the probability of randomly selecting a 60-watt light bulb from the given box is 0.45 or 45%. This means that there is a 45% chance of picking a 60-watt light bulb if a bulb is chosen at random from the box.
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