There are 4 banana smoothies, 1 strawberry smoothie and 1 watermelon smoothie in the refrigerator. without looking, what is the probability of pulling out a banana smoothie and then a another banana smoothie(assume that you don't put the first banana smoothie back in the refrigerator.) write your answer as a percent

There are four banana, one strawberry and one water-melon smoothies, six in all.

Assuming all smoothies are identical when we pick, then the probability of picking a particular one is one divided by the total number (of smoothies).

Since there are four banana smoothies, the probability of picking a banana smoothie is four divided by six, or four-over-six, or two-thirds.

There are now five smoothies remaining, of which three are banana. Therefore the probability of picking another banana is three-over-five, or three fifths.

The final probability is the product of the individual (we call it a two-step experiment), or two-third multiplied by three-fifths, equal to two-fifths, or forty percent.

Recall that if the first banana smoothie had been put back in the batch, the probability would come out different.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.