Question

please tell me the solution and not the answer of this question pls​

Answer 1

No.of red marbles.

$\frac{40}{100} \times 500$

$200$

No.of blue marbles.

$500 - 200$

$300$

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Answer 2

Answer:

The probability of drawing a red marble = 2/5. The probability of drawing a blue marble is now = 1/4. The probability of drawing a red marble = 2/5.

Step-by-step explanation:

We have seen that it is possible to find the probability of compound events, where we have the occurrence of more than one simple event in a sequence. When working with more than one event, you have to be concerned as to whether the first event affects the second event.

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When determining if events are independent, you are

determining if the events are affecting one another.

Independent Events

Two events are said to be independent if the result of the second event is not affected by the result of the first event. The probability of one event does not change the probability of the other event.

If A and B are independent events, the probability of both events occurring is the product of the probabilities of the individual events.

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If A and B are independent events,

P(A∩B) = P(A and B) = P(A) • P(B).

(referred to as the "Probability Multiplication Rule")

Notice the connection between "AND" and "multiplication".

ex1 What is the probability of tossing a head on a penny and then choosing an ace from a standard deck of cards?

These are independent events as the second event is not affected by the first.

The probability of BOTH of these events is found by the Multiplication Rule.

The events are independent.

P(head then ace) = P(head) • P(ace) = 1/2 • 4/52 = 2/52 = 1/26.

ex2A drawer contains 3 red paper clips, 4 green paper clips, and 5 blue paper clips. One paper clip is taken from the drawer and then replaced. Another paper clip is taken from the drawer. What is the probability that the first paper clip is red and the second paper clip is blue?

Because the first paper clip is replaced, the sample space of 12 paper clips

does not change from the first event to the second event.

The events are independent.

P(red then blue) = P(red) • P(blue) = 3/12 • 5/12 = 15/144 = 5/48.

When you toss a coin, the probability of getting a head is 1 out of 2 or ½.

cointoss If you toss the coin again, the probability of getting a head is still 1 out of 2 or ½.

If you toss a coin 10 times and get a head each time, you may think that your luck of tossing a tail is increasing since it has not yet appeared. This is not the case.

These events are independent events and do not affect one another.

The probability of tossing a tail is 1 out of 2 or ½ regardless of how many heads were tossed previously.