CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 7 red counters and 7 blue counters. One counter is chosen randomly. What is the probability of red?
A. 1/2-1
B. 1/2
C. 1/14
D. 1
Correct Answer: B
Probability = 7/14 = 1/2.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 12 red counters and 15 blue counters. One counter is chosen randomly. What is the probability of red?
A. 4/5
B. 5/9
C. 1/27
D. 4/9
Correct Answer: D
Probability = 12/27 = 4/9.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 11 white and 10 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 11/42
B. 109/420
C. 11/21
D. 10/21
Correct Answer: A
P = 11/21 × 10/20 = 11/42.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 6 red counters and 10 blue counters. One counter is chosen randomly. What is the probability of red?
A. 3/5
B. 5/8
C. 3/8
D. 1/16
Correct Answer: C
Probability = 6/16 = 3/8.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 5 white and 7 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 5/12
B. 5/33
C. 7/12
D. 19/132
Correct Answer: B
P = 5/12 × 4/11 = 5/33.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 11 red counters and 5 blue counters. One counter is chosen randomly. What is the probability of red?
A. 5/16
B. 1/16
C. 11/16
D. 11/5
Correct Answer: C
Probability = 11/16 = 11/16.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 7 white and 4 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 41/110
B. 7/11
C. 21/55
D. 4/11
Correct Answer: C
P = 7/11 × 6/10 = 21/55.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 5 red counters and 13 blue counters. One counter is chosen randomly. What is the probability of red?
A. 5/13
B. 5/18
C. 13/18
D. 1/18
Correct Answer: B
Probability = 5/18 = 5/18.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 9 white and 10 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 10/19
B. 71/342
C. 4/19
D. 9/19
Correct Answer: C
P = 9/19 × 8/18 = 4/19.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 10 red counters and 8 blue counters. One counter is chosen randomly. What is the probability of red?
A. 5/9
B. 1/18
C. 5/4
D. 4/9
Correct Answer: A
Probability = 10/18 = 5/9.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 11 white and 7 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 55/153
B. 7/18
C. 11/18
D. 109/306
Correct Answer: A
P = 11/18 × 10/17 = 55/153.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 15 red counters and 16 blue counters. One counter is chosen randomly. What is the probability of red?
A. 1/31
B. 16/31
C. 15/31
D. 15/16
Correct Answer: C
Probability = 15/31 = 15/31.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 5 white and 4 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 19/72
B. 5/9
C. 4/9
D. 5/18
Correct Answer: D
P = 5/9 × 4/8 = 5/18.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 9 red counters and 11 blue counters. One counter is chosen randomly. What is the probability of red?
A. 9/11
B. 1/20
C. 11/20
D. 9/20
Correct Answer: D
Probability = 9/20 = 9/20.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 7 white and 10 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 21/136
B. 7/17
C. 41/272
D. 10/17
Correct Answer: A
P = 7/17 × 6/16 = 21/136.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 14 red counters and 6 blue counters. One counter is chosen randomly. What is the probability of red?
A. 7/3
B. 1/20
C. 7/10
D. 3/10
Correct Answer: C
Probability = 14/20 = 7/10.
CSS - PMS - CCE - PCS - Mathematics
Probability
A bag contains 9 white and 7 black balls. Two balls are drawn successively without replacement. What is the probability that both are white?
A. 3/10
B. 9/16
C. 7/16
D. 71/240
Correct Answer: A
P = 9/16 × 8/15 = 3/10.
CSS - PMS - CCE - PCS - Mathematics
Probability
One whole number is chosen uniformly from 1 to 41. What is the probability that it is a multiple of 4?
A. 31/41
B. 4/41
C. 10/41
D. 1/4
Correct Answer: C
There are 10 multiples of 4 among 41 numbers, giving probability 10/41.
CSS - PMS - CCE - PCS - Mathematics
Probability
A container holds 8 red counters and 14 blue counters. One counter is chosen randomly. What is the probability of red?
A. 7/11
B. 4/11
C. 4/7
D. 1/22
Correct Answer: B
Probability = 8/22 = 4/11.
CSS - PMS - CCE - PCS - Mathematics
Probability
When two fair dice are rolled, what is the probability that the total is exactly 7?
A. 1/6-1
B. 2/9
C. 5/36
D. 1/6
Correct Answer: D
There are 6 ordered pairs with sum 7 out of 36 equally likely pairs, so probability = 1/6.