180 paving stones were examined for cracks, and 18 were found to be cracked. The same 180 stones were examined for discoloration, and 23 were found to be discolored. A total of 9 stones were both cracked and discolored. One of the 180 stones is selected at random. Round all answers to four decimal places.Part: 0 / 40 of 4 Parts CompletePart 1 of 4(a)Find the probability that it is cracked.
Question
180 paving stones were examined for cracks, and 18 were found to be cracked. The same 180 stones were examined for discoloration, and 23 were found to be discolored. A total of 9 stones were both cracked and discolored. One of the 180 stones is selected at random. Round all answers to four decimal places.Part: 0 / 40 of 4 Parts CompletePart 1 of 4(a)Find the probability that it is cracked.
Solution
To find the probability that a randomly selected stone is cracked, you divide the number of cracked stones by the total number of stones.
Here's how you do it:
Step 1: Identify the total number of outcomes. In this case, the total number of stones is 180.
Step 2: Identify the number of successful outcomes. In this case, the number of cracked stones is 18.
Step 3: Divide the number of successful outcomes by the total number of outcomes to get the probability.
So, the probability (P) that a stone is cracked is:
P(cracked) = Number of cracked stones / Total number of stones = 18 / 180 = 0.1
So, the probability that a randomly selected stone is cracked is 0.1 or 10%.
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