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Attempt 2

A student randomly selects two buttons from a box containing 32 red buttons, 48 blue buttons, 44 green buttons, and 51

yellow buttons. Compute the probability, as a decimal ratio with four decimal places, of selecting two red buttons.

Respuesta :

facundo3141592

The probability of drawing two red buttons is:

P = 0.0326

How to get the probability?

There are:

  • 32 red buttons.
  • 48 blue buttons.
  • 44 green buttons.
  • 51 yellow buttons.

So there are a total of 32 + 48 + 44 + 51 = 175

We assume that all the buttons have the same probability to being randomly drawn.

For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:

p = 32/175

For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:

q = 31/174

Finally, the joint probability is given by the product between p and q, this gives:

p*q = (32/175)*(31/174) = 0.0326

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

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