The table below shows the number of marbles of different colors in a box. A fair coin is shown below the table.

Color of Marble Number
Red 10
Blue 1
Green 5
Pink 4

Dan selects a marble from the box randomly without looking and then tosses the fair coin. What is the probability that Dan will select a blue marble and the coin will land tails up? (1 point)

Question

06-08-2016
Mathematics

contestada

The table below shows the number of marbles of different colors in a box. A fair coin is shown below the table.

Color of Marble Number
Red 10
Blue 1
Green 5
Pink 4

Dan selects a marble from the box randomly without looking and then tosses the fair coin. What is the probability that Dan will select a blue marble and the coin will land tails up? (1 point)

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Sionainn Sionainn · Answer 1 · 2016-08-06T06:03:37+02:00

First we need to find the probability of selecting the 1 blue marble out of the 20 marbles total, which is 1/20.

Next, we need to find the probability of tossing the fair coin so it lands tails up, which is 1/2.

To find the probability of both events happening, we need to multiply the probabilities of the two individual events:
1/20 * 1/2 = 1/40

So the answer is 1/40, or 2.5%

Sorry about the poor formatting :( I'm on my phone at the moment, which makes it difficult.

Hope I helped, and let me know if you have any questions :D

ButterCup313 ButterCup313 · Answer 2 · 2016-08-06T06:37:21+02:00

ButterCup313 ButterCup313

06-08-2016

For the blue marble its 1 out of 20 and for the coin its 50/50 or 1 out of 2

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