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Bookmarks Window Help MATH Hosted by ALEKS Cerp Chapter 4 Next Previous 11 12 13 14 15 16 17:1181 19 20 , 4.3 Section Exercise 10 Question 18 of 26 (3 points) View problem in. a.poR- Questi A bag contains 8 red marbles, 7 white marbles, and 6 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. Enter your answers as fractions or decimals rounded to three decimal places Check Ar Gulded Sa Show Exa Link to Tex Part 1 The probability that the first marble i red and the second is white P(first red and second white)-0.133 Part 2 out of 3 The probability that beth are the same color P(same color)- Save for La CLIL Submit Assig

Explanation / Answer

A bag contains 8 red marbles, 7 white marbles, and 6 blue marbles so there 21 total marbles.

Randomly choose two marbles without replacement.

Part 1.

The probability that the first marble is red and the second is white

P(first red and second white) = (8 / 21) * (7 / 20) = 0.380952 * 0.35 = 0.133

P(first red and second white) = 0.133

Part 2.

The probability that both are the same color.

P(same color) = 2red + 2white + 2blue

P(same color) = (8/21)*(7/20) + (7/21)*(6/20) + (6/21)*(5/20)

P(same color) = 0.133333 + 0.1 + 0.071429 = 0.305

P(same color) = 0.305

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