Suppose you choose a marble from a bag containing 3 red marbles, 3 white marbles, and 5 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue).

Respuesta :

Since there are 3 marbles that are red out of 11, the probability of picking a red is 3/11. The probability that the next pick will be blue is 5/11.

Multiply those 2 numbers together and you get 3/11 * 5/11 = (3*5) / (11*11) = 15/121

The probability of first picks the red and then blue will be,15/121.

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

No of red marbles =3

No of white marbles = 3

No of blue marbles =5

Total no of the marble is;

T= 3+3+5=11

The probability of picking a red ;

[tex]\rm P_{red}=\frac{3}{11}[/tex]

The probability that the next pick will be blue is;

[tex]P_{( blue})=\frac{5}{11}[/tex]

P(red then blue) is;

[tex]P_{(red \rightarrow blue})=\frac{3}{11} \times \frac{5}{11} \\\\ P_{(red \rightarrow blue})=\frac{15}{121}[/tex]

Hence,the probability of first picks the red and then blue will be,15/121.

To learn more about the probability, refer to the link;

https://brainly.com/question/11234923

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