Answer:
The two scenarios differ.
P(Scenario A) = 0.107
P(Scenario B) = 0.265
Step-by-step explanation:
The two scenarios are different because for the second one you are alredy assuming that the first 3 cards are not hearths, and for that reason, B is more likely to happen that A.
For B to happen, you need to notice that since you remove 3 cards from your deck that are not hearts, then your deck has only 49 cards, and 13 of them are hearts. The probability for a heart to show up is, as a result 13/49 = 0.265 because you have 13 favourable cases from 49 possible.
For A, you need the first card to be anything but a heart. Since 13 cards of the deck are herts, 39 are not, and the probability of that hapening is 39/52 = 3/4. After you remove your first card, the probability of the second one not being heart is 38/51, and the probability for the third one is 37/50 (you are removing one favourable case and one case for the total of cases each time). The probability for the fourth card being a heart assuming that the first three are not was calculated before and it gives us a result of 13/49.
Multiplying everything, we obtain that
P(A) = 3/4*38/51*37/50*13/49 = 0.107.
Its like eating one portion and a half. So, you eat a portion, and then you eat a portion half of what you just ate. Hence why 3 times 1.5 is 4.5, because 3+1.5 equals 4.5
B - 4 >_ 0
b >_ 4
-3b + 5 > 8
-3b > 3
b> -1
Answer:
Mean= 13.38
Median= 15
Step-by-step explanation:
The mean can be calculated by getting the sun of the 8 scores and then dividing it by the number of students
Mean= 7 + 18 + 18 + 15 + 17 + 10 + 15 + 7/8
= 107/8
= 13.38
The median can be calculated by first rearranging the numbers from the lowest to the highest and then calculating the average of the two middle numbers
7 , 7, 10, 15, 15, 17, 18, 18
Median = 15+15/2
= 30/2
= 15
Hence the mean is 13.38 and the median is 15
Answer:
option C
15 14
-1 9
Step-by-step explanation:
Given in the question a 2x3 and 3x2 matrix
Since, the column of first matrix and row of second matrix is of equal integer, 3, so we can multiply them.
The resultant matrix will be of 2x2
We will use dot product
1(2) + 3(3) + 1(4) 1(-2) + 3(5) + 1(1)
-2(2) + 1(3) + 0(4) -2(-2) + 1(5) + 0(1)
15 14
-1 9