Statistics Question

Question

In a bag of marbles, 20% are red. What is the probability at least 1 out of 5 marbles drawn are red?

Please explain how I would solve this

Answer 1

Hi Naveed,

Imagine having a bag of marbles. You don't know how many there are in there yet.

You are told that 20% are red which means the other 80% are not red.

You are now told that you have a total of 5 marbles in the bag (key word is 1 OUT OF 5 marbles).

Now you take your total marbles in the bag, in this case 5 and calculate 20% of that.

0.20 is 20% of 1, so you multiply 0.20 by 5 which equals 1.

Now you know there is 1 red marble and 4 non-red marbles OUT OF 5 total marbles.

What is the probability at least 1 out of 5 marbles drawn are red?

Probability is favorable outcomes divided by total outcomes.

There is 1 favorable outcome here (1 red marble) out of 5 total outcomes (5 total marbles).

The answer is 1/5 which is 0.20 or 20%.

I hope this made some sense and was helpful for you!

Please let me know if you have any additional questions.

If you'd like to book a tutoring lesson, I'd be more than happy to assist you

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Thank you,