Basic Numeracy/Quantitative Aptitude

295. Two six-sided dice are rolled. Find the probability that the first die is not a 5, given that the second die is not a 2.

	(a) 2/3
	(b) 29/36
	(c) 25/36
	(d) 5/6

296. Two six-sided dice are rolled. But this time, the dice aren't fair: For each die, a 1 is twice as likely to be rolled as a 2, a 2 is twice as likely to be rolled as a 3, ..., and a 5 is twice as likely to be rolled as a 6 (in other words, each number is twice as likely as the number that follows it). So what is the probability of rolling a sum of 7?

	(a) 64/1023
	(b) 64/1223
	(c) 64/1323
	(d) 64/1123

297. There is a carnival game that requires you to roll two standard 6-sided dice. If the sum of the dice rolls is a prime number, then you win. What is the probability of winning?

	(a) 5/12
	(b) 17/36
	(c) 4/9
	(d) 1/2

298. There is a standard 52-card deck. If you draw three cards randomly, what is the probability that all three cards are spades?

	(a) 23 out of 1,988
	(b) 39 out of 140,608
	(c) 11 out of 850
	(d) 1 out of 64

299. A casino game costs $5 to play where you roll two dice. If the sum of the dice rolls is 7, you win $21. If the sum of the dice rolls is not 7, then you lose and get nothing. If you keep playing and stop when you win, what are the odds you will have made money?

	(a) 3750/7776
	(b) 4651/7776
	(c) 3125/7776
	(d) 4105/7776

TOTAL

Detailed Solution

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40
41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70	71	72	73	74	75	76	77	78	79	80
81	82	83	84	85	86	87	88	89	90	91	92	93	94	95	96	97	98	99	100
101	102	103	104	105	106	107	108	109	110	111	112	113	114	115	116	117	118	119	120
121	122	123	124	125	126	127	128	129	130	131	132	133	134	135	136	137	138	139	140
141	142	143	144	145	146	147	148	149	150	151	152	153	154	155	156	157	158	159	160
161	162	163	164	165	166	167	168	169	170	171	172	173	174	175	176	177	178	179	180
181	182	183	184	185	186	187	188	189	190	191	192	193	194	195	196	197	198	199	200
201	202	203	204	205	206	207	208	209	210	211	212	213	214	215	216	217	218	219	220
221	222	223	224	225	226	227	228	229	230	231	232	233	234	235	236	237	238	239	240
241	242	243	244	245	246	247	248	249	250	251	252	253	254	255	256	257	258	259	260
261	262	263	264	265	266	267	268	269	270	271

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