at the tire store, 10 out of every 100 tires are defective. if your parents randomly choose and purchase 4 new tires for a family vehicle from a set of 100 newly shipped titres, what is the probability that all four will be defective
1/46,060
Simplify: 5 out of 50
1) 5/50= 1/10
2) 4/49
3) 3/48 = 1/16
4) 2/47
2/47 * 1/10 * 4/49 * 1/16 = 8/368,480 = 1/46,060
To calculate the probability that all four tires will be defective, we can use the concept of independent events. Given that 10 out of 100 tires are defective, the probability of selecting a defective tire is 10/100 or 0.1.
Since the events are independent, we can multiply the probabilities together. So, the probability that all four tires will be defective is:
(0.1) * (0.1) * (0.1) * (0.1) = 0.0001
Therefore, the probability that all four tires will be defective is 0.0001 or 0.01%.
To calculate the probability that all four tires will be defective, we need to consider the probability of selecting a defective tire from the set for each tire your parents purchase.
Given that 10 out of every 100 tires are defective, we can say that the probability of selecting a defective tire from the set is 10/100, which can be simplified to 1/10.
Since each tire is chosen independently, the probabilities of selecting a defective tire for each tire are multiplied together. Thus, the probability of selecting four defective tires in a row can be calculated as:
(1/10) * (1/10) * (1/10) * (1/10) = 1/10,000
Therefore, the probability that all four tires will be defective is 1 out of 10,000.