Question

p(getting exactly 7 correct) = 0.0031
p(getting exactly 8 correct) = 0.000386
p(getting exactly 9 correct) = 2.86 × 10⁻⁵
p(getting exactly 10 correct) = 9.54 × 10⁻⁷
describe the pattern in the probability of getting greater numbers of successes.

Explanation:

First, convert all probabilities to standard decimal form to compare:

• 0.0031 (7 correct)
• 0.000386 (8 correct)
• 0.0000286 (9 correct)
• 0.000000954 (10 correct)

As the number of correct answers (successes) increases, the corresponding probability value becomes smaller each time, decreasing by roughly an order of magnitude with each additional correct answer.

Answer:

As the number of correct answers (number of successes) increases, the probability of achieving that exact number of successes decreases sharply, with each subsequent probability being significantly smaller than the previous one.