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?\no 16 percent\no 24 percent\no 40 percent\no 80 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?\no 16 percent\no 24 percent\no 40 percent\no 80 percent

Answer

Explanation:

Step1: Identify probabilities

The probability of one sprout blooming is $P_1 = 0.4$. 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 $P = P_1\times P_2=0.4\times0.4 = 0.16$.

Answer:

16 percent