# An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the experiment is repeated 75 times, with the following results:...

*print*Print*list*Cite

### 2 Answers

Those numbers actually represent frequencies of the drawing the balls. We can approximate relative frequencies with probabilities of drawing each of the balls.

So probability of drawing a red ball would be `38/75` because red ball was drawn 38 out of 75 times. Analogously we obtain probabilities of drawing other balls: blue `23/75,` green `11/75` and yellow `3/75=1/25.`

Now probability of drawing two yellow in a row. Since we put a marble back each time it follows that the drawings are mutually independent and probability of two independent events happening is equal to product of their respective probabilities. Thus we have

`1/25cdot1/25=1/625=0.0016`

**So probability of drawing two yellow balls in a row is** `1/625.`

A pizza shop has 18 different toppings to choose from. Today?s special comes with a choice of 5 toppings, plus a choice of 3 types of crust: thin crust, regular, and deep dish crust.