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tiny-mole [99]
2 years ago
13

A reading list contains 3 historical books and 4 science-fiction books. What is the probability that Tena will randomly choose a

historical book for her first repost and a science-fiction book for her second?
a. 12/49

b.2/9

c.2/7

d.1 2/7
Mathematics
1 answer:
murzikaleks [220]2 years ago
4 0
There are 7 books all in all. Since the order is important, there are 7P2 (permutation of 7 taken 2) ways in which Tena can do the repost. If she picks historical books first then followed by the science-fiction, there are
                                        3 x 4 = 12 ways. 
The probability is therefore equal to 12/(7P2) which is equal to 2/7. The answer is letter c. 
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3 years ago
Let A and B be events with =PA0.7, =PB0.3, and =PA or B0.9. (a) Compute PA and B. (b) Are A and B mutually exclusive? Explain. (
kvasek [131]

Answer:

a) P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1

b) False

The reason is because we don't satisfy the following relationship:

P(A\cup B) = P(A) + P(B)

We have that:

0.9 \neq 0.3+0.7 =1

c) False

In order to satisfy independence we need to have the following condition:

P(A \cap B) = P(A) *P(B)

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

Step-by-step explanation:

For this case we have the following probabilities given:

P(A) = 0.7, P(B) =0.7, P(A \cup B) =0.9

Part a

We want to calculate the following probability: P(A \cap B)

And we can use the total probability rule given by:

P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1

Part b

False

The reason is because we don't satisfy the following relationship:

P(A\cup B) = P(A) + P(B)

We have that:

0.9 \neq 0.3+0.7 =1

Part c

False

In order to satisfy independence we need to have the following condition:

P(A \cap B) = P(A) *P(B)

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

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3 years ago
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Answer:

(5x-8)(x-2)

Step-by-step explanation:

or either use quadratic formula

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