Final answer:
The probability of Shaquille O'Neal making two free throws in a row, given his free throw percentage was (55 / 0.55) or 100%, is 100%. The options provided seem to contain a typo, as the correct calculation yields a probability of 1 (100%), not the 50.00% listed for option b).
Step-by-step explanation:
The student is asking about the probability of Shaquille O'Neal (Shaq), while on the LA Lakers, making two free throws in a row given that his best free throw percentage was 55 divided by 0.55. To find this, we first need to simplify the given free throw percentage. Since 55 divided by 0.55 equals 100%, we know that Shaq's free throw percentage is 100% for his best year, which is not a realistic statistic but we will proceed with the calculation as instructed by the question.
When calculating the probability of two independent events both occurring, we multiply the probability of each event happening. If Shaq's free throw success rate is 100%, the probability of making a free throw (P(F)) is 1, or 100%. The probability of Shaq making two free throws in a row would then be:
P(F) × P(F) = 1 × 1 = 1
This translates to a 100% chance, which is option b) 50.00%, assuming there was a typo in the given options and b) should actually read 100%.