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anyanavicka [17]
3 years ago
9

A Fair coin is tossed and a marble is chosen from the bag whose contents are shown below. what is the probability of the coin La

nding heads up and a Blue Marble being randomly selected?
Blue: 3 Green: 4 Red: 3

A) 3/20
B) 1/6
C) 4/5
D) 5/6​
Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0

Answer: Option A)

P=\frac{3}{20}

Step-by-step explanation:

We know that when you toss the coin, the probability of getting heads up is

p_m = 0.5

In the bag there are 10 marbles

Blue: 3 Green: 4 Red: 3

So the probability of getting a blue marble is:

P_b = \frac{3}{10}

Note that the events are independent.

Finally, the probability of obtaining a head up and a blue marble will be:

P = p_m * p_b     → Because the events are independent:

P = 0.5*\frac{3}{10}

P=\frac{3}{20}

Vera_Pavlovna [14]3 years ago
3 0

Answer:

P(Coin landing heads and blue marble is randomly selected) = 3/20.

Step-by-step explanation:

In this question, two events simultaneously take place. First, all the probabilities have to be identified. It is mentioned that the coin is a fair coin, therefore the probabilities of all the outcomes associated with the coin tossing will be equal. Therefore:

P(Coin landing heads) = 1/2.

P(Coin landing tails) = 1/2.

There are a total of 3 blue + 4 green + 3 red = 10 marbles in the bag. Therefore:

P(Selected marble is blue) = 3/10.

P(Selected marble is green) = 4/10.

P(Selected marble is red) = 3/10.

Assuming that both the events are independent, the probabilities of both the events can safely be multiplied. Therefore:

P(Coin landing heads and blue marble is randomly selected) = 1/2 * 3*10 = 3/20.

Therefore, the answer is 3/20!!!

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