Please help. I didn't get the right answer with this question before:
Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes 4 poems by Shakespeare, 5 poems by Coleridge, 2 poems by Tennyson, and 2 poems by Lord Byron. What is the probability that you will be assigned a poem by Coleridge and then a poem by Lord Byron?
Possible answers:
7/13, 9/13, 5/78, 6/13
No replacement (otherwise two identical poems)
Total=4+5+2+2=13 poems
5 Colerdge, 2 Byron
So
P(CB)=(5/13)*(2/12) =5/78
To determine the probability of being assigned a poem by Coleridge and then a poem by Lord Byron, you need to find the probability of each event happening and multiply those probabilities together.
First, calculate the probability of being assigned a Coleridge poem. There are a total of 4 + 5 + 2 + 2 = 13 poems in the syllabus, and 5 of them are by Coleridge. So, the probability of being assigned a Coleridge poem is 5/13.
Next, calculate the probability of being assigned a Lord Byron poem. There are still 13 poems in the syllabus, but now there are only 2 by Lord Byron. So, the probability of being assigned a Lord Byron poem is 2/13.
To find the probability of both events happening, multiply the probability of being assigned a Coleridge poem (5/13) by the probability of being assigned a Lord Byron poem (2/13):
(5/13) * (2/13) = 10/169.
Therefore, the probability of being assigned a poem by Coleridge and then a poem by Lord Byron is 10/169.
So, the correct answer is not among the possible answers provided.
To find the probability of being assigned a poem by Coleridge and then a poem by Lord Byron, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Step 1: Calculate the total number of possible outcomes.
There are a total of 4 + 5 + 2 + 2 = 13 poems in the syllabus.
Step 2: Calculate the number of favorable outcomes.
Since we want to be assigned a poem by Coleridge and then a poem by Lord Byron, we need to multiply the number of Coleridge poems (5) by the number of Lord Byron poems (2), giving us 5 * 2 = 10 favorable outcomes.
Step 3: Calculate the probability.
The probability is the number of favorable outcomes divided by the total number of possible outcomes. In this case, it is 10/13.
Therefore, the probability that you will be assigned a poem by Coleridge and then a poem by Lord Byron is 10/13.
The correct answer is: 10/13.