under the best conditions, a sprout has a 40% probability of blooming. if two sprouts are selected at…

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?\n16 percent\n24 percent\n40 percent\n80 percent

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?\n16 percent\n24 percent\n40 percent\n80 percent

Answer

Explanation:

Step1: Identify probabilities

The probability of one sprout blooming is $P_1 = 40%=0.4$. Since the events of each sprout blooming are independent, the probability of the second sprout blooming is also $P_2 = 0.4$.

Step2: Use multiplication rule for independent events

For independent events $A$ and $B$, the probability of both $A$ and $B$ occurring is $P(A\cap B)=P(A)\times P(B)$. Here, the probability that both sprouts bloom is $P = P_1\times P_2$. $P=0.4\times0.4 = 0.16$.

Step3: Convert to percentage

To convert the decimal - probability to a percentage, we multiply by 100. So $0.16\times100 = 16%$.

Answer:

16 percent