1. Passage Reading
2. Verbal Logic
3. Non Verbal Logic
4. Numerical Logic
5. Data Interpretation
6. Reasoning
7. Analytical Ability
8. Quantitative Aptitude

295. d: The correct answer was 5/6.

Let E be the event "the first die is a 5" and F be the event "the second die is a 2."
E and F are independent events. Hence so are the complements of E and F. This
means that the probability of the complement of E given the complement of F is
just the probability of the complement of E, which is 1 - 1/6 = 5/6.

296. c: The correct answer was 64/1323.

Let x = the probability of rolling a 6. Then 2x is the probability of rolling a 5, 2*2x
= 4x = the probability of rolling a 4, 8x = the probability of rolling a 3, 16x = the
probability of rolling a 2, and 32x = the probability of rolling a 1. These are all the
outcomes, so these probabilities must sum to 1: x + 2x + 4x + 8x + 16x + 32x = 1
which simplifies to 63x = 1 which means x = 1/63.
So Pr(1) = 32/63, Pr(2) = 16/63, Pr(3) = 8/63, Pr(4) = 4/63, Pr(5) = 2/63, and
Pr(6) = 1/63.

There are six ways to roll a sum of 7:

(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)

By independence, their corresponding probabilities are

(32/63)*(1/63), (16/63)*(2/63), (8/63)*(4/63), (4/63)*(8/63), (2/63)*(16/63), and
(1/63)*(32/63).

Each probability is 32/63^2. We add up these six probabilities to get the
probability of rolling a sum of 7: 6*(32/63^2) = 64/1323.

297. a: The correct answer was 5/12.

There are 36 possible results from rolling two dice. The sum of the dice rolls will
give you a number from 2 to 12. The prime numbers between them are 2, 3, 5, 7,
and 11. The possible dice rolls to get those numbers are: 1-1, 1-2, 2-1, 1-4, 4-1,
2-3, 3-2, 1-6, 6-1, 2-5, 5-2, 4-3, 3-4, 6-5, and 5-6. Since there are 15 results that
win the game, the odds of winning are 15/36, or 5/12.

298. c: The correct answer was 11 out of 850.

The probability of drawing one spade is 13/52 or 1/4. The odds of drawing
another spade is 12/51. The odds of drawing a third spade is 11/50. If you
multiply (1/4 * 12/51 * 11/50), you get 132/10200. This simplifies to 11/850.

299. a: The correct answer was 3750/7776.

There are 36 possible results from rolling two dice. Of those results, there are 6
that will give you a 7: 1-6, 6-1, 2-5, 5-2, 4-3, and 3-4. This means there is a 1/6
chance you will roll a 7. To figure the odds of making money, first I'll figure the
odds of losing money. You have to lose 4 times in order to lose money. The odds
of losing once are 5/6. If you do 5/6 to the 4th power, you get the odds of losing
money, which are 4026/7776. This means the odds of making money are
3750/7776.

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