Answer:
0.09
Step-by-step explanation:
All the possible outcomes are listed below if the condition of at least 2 books from each subject has to be satisfied
Option 1 - 3 books from mathematics, 2 books from chemistry and 2 books from astrology
Option 2 - 2 books from mathematics, 3 books from chemistry and 2 books from astrology
Option 3 - 2 books from mathematics, 2 books from chemistry and 3 books from astrology
The probability for option 1 = 3/10 x 2/8 x 2/5
= 0.03
The probability for option 2 = 2/10 x 3/8 x 2/5
= 0.03
The probability for option 3 = 2/10 x 2/8 x 3/5
= 0.03
The final probability = Probability of option 1 + Probability of option 2 + Probability of option 3
= 0.09
Note: The order does not matter because it is given that he is packing for vacation, and HASTILY throws 7 books into his suitcase.
The equation is Pk+1.
Pk=2k2.
What you would do is plug in pk+1 into 2k^2
.2(k+1)^2=
2* (k+1)(k+1)
2*(k^2+2k+1)= 2k^2+4k+2
Because the factors in the numerator cancel with the factors in the denominator. Consider this example:
All of the 6's in the denominator canceled with the 6's in the numerator, and only 3 6's "survived". The opposite can also happen, if there are more terms in the denominator:
So, everything is coherent