Question

The probability that a train leaves on time is 0.9. The probability that the train arrives on time and leaves on time is 0.36. What is the probability that the train arrives on time, given that it leaves on time?

0.6

0.9

0.27

0.36

Answer 1

What is the probability of drawing a diamond from a standard deck of cards on a second draw, given that a diamond was drawn on the first draw and not replaced?

12/ 51

1/52

1/51

13/52

Answer 2

about the first question:
\(P(L) = 0.9\)
\(P(A \cap L) = 0.36\)

the formula \(P(A|L) = \frac{P(A\cap L)}{P(L)}\) should give the answer to the question.
(i find 0.39999 , not in the options???)

Answer 3

what is the state of the deck after the first diamond was drawn?

answer: 12 diamonds in a deck of 51 cards.
so?

Answer 4

Jacob has a piece of toast that has butter on one side, and he dropped it twice. Both times it landed with the butter side up. If he drops it two more times, what is the probability that it will have landed butter side up a total of three times?

1/6
1/2
1/3
2/3

Answer 5

this means, there will be two drops, and only once will it have butter side up.

it can be "up - down" or "down - up".

you must sum the probabilities of these two possibilities. (involves the numer 1/2 several times)

Answer 6

the probab. that it falls butter-side-up is 1/2.
the probab. that it falls butter-side-down is 1/2.

so the sequence up-down has a probability of (1/2) x (1/2) of happening.

Answer 7

A diner asked its customers, "Did you cook dinner last night?" The results on the survey are shown in the table below:


Male Female
Cooked dinner 305 279
Did not cook dinner 152 459


What is the probability that one of the customers chosen from this survey was a female and cooked dinner?
0.23

0.38

0.47

0.61

Answer 8

@Princezz

Answer 9

@esshotwired

Answer 10

The way you would solve this one would be to find how many females cooked dinner(279) then you have to find the total of all of the men and females you did and did not cook dinner(1195).

Then you take that and make a fraction for the probability of choosing a female who cooked dinner. \[\frac{ 279 }{ 1195 }\] But this question is asking for it in a decimal. So divide: \[279\div1195=0.23\]

Answer 11

Thank you @esshotwired