Question

under the best conditions, a sprout has a 40% probability of blooming. if two sprouts are selected at random, what is the probability that both will bloom, under the best conditions? 16 percent 24 percent 40 percent 80 percent

Explanation:

Step1: Convert percentage to decimal

The probability of one sprout blooming is 40%, which is \( 0.4 \) in decimal form.

Step2: Use multiplication rule for independent events

Since the blooming of each sprout is an independent event, the probability that both will bloom is the product of their individual probabilities. So we calculate \( 0.4\times0.4 \).

Step3: Calculate the result and convert back to percentage

\( 0.4\times0.4 = 0.16 \), and converting \( 0.16 \) to a percentage gives \( 0.16\times100\% = 16\% \).

Answer:

16 percent