Question

7 example of independent event 8 pieces of fruit are drawn twice with replacement what is P

Answer 1

Answer:

7.

rolling two number cubes

8.

2/25

Step-by-step explanation:

7.

Events A and B are said to be statistically independent if the probability of A happening, P(A), in no way affects the probability of event B occurring, P(B);

P(A∩B) = P(A) P(B)

If A and B are independent the above equation is always true.

From the list given, rolling two number cubes is an example of independent events since the outcome from the first cube does not affect the outcome of the second cube.

8.

We are informed the bag contains 4 apples, 1 plum, 2 apricots, and 3 oranges. We are required to determine the following probability;

P(Apple then Apricot) given that the fruits are drawn with replacement.

The probability of drawing an apple from the bag is;

(number of apples)/(total number of fruits)

= 4/10 = 2/5

The probability of drawing an apricot from the bag given that the apple drawn is replaced is;

(number of apricots)/(total number of fruits)

= 2/10 = 1/5

Now,  P(Apple then Apricot) = 2/5 * 1/5 = 2/25