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You play a game that requires rolling a six- sided dice then randomly choosing a colored card from a deck containing 3 cards, 8 blue cards, and 6 yellow cards. Find the probability that you will roll a 2 on the dice and then choose a blue card

Respuesta :

MathPhys

Answer:

4/51

Step-by-step explanation:

The probability of rolling a 2 is 1/6.

There are a total of 17 cards, so the probability of a blue card is 8/17.

The probability of both events is:

(1/6) (8/17) = 4/51

facundo3141592

We want to find the probability of rolling a 2 and then getting a blue card. We will see that this probability is equal to 0.078

First, we must find the probability of rolling a 2 with a six-sided dice.

A six-sided dice has 6 possible outcomes, only one of these is a 2, then the probability of rolling a 2 is just:

p = 1/6

Then we find the probability of drawing a blue card.

There are:

  • 3 cards (no color)
  • 8 blue cards
  • 6 yellow cards.

So there is a total of 3 + 8 + 6 = 17 cards, and 8 of these are blue, then the probability of randomly drawing a blue card is:

q = 8/17

The joint probability is given by the product of the two individual probabilities, so we get:

P = p*q = (1/6)*(8/17) = 0.078

So the probability of rolling a 2 and then getting a blue card is P = 0.078

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

https://brainly.com/question/17223269

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