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
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.