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Mathematics
UTME / JAMB 2025
Probability
Solution
Find the probability of getting an even number in a single throw of a six-sided die.
A
\(\frac{1}{4}\)
B
\(\frac{1}{5}\)
C
\(\frac{1}{2}\)
D
\(\frac{1}{3}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Probability
Solution
If the probability of death is q and the probability of survival is p, find the probability of one death and one survival in an accident involving two persons
A
p/q
B
pq
C
p - q
D
p + q
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Probability
Solution
Two fair dice are tossed together once. Find the probability that the sum of the outcomes is at least 10.
A
\(\frac{1}{6}\)
B
\(\frac{1}{12}\)
C
\(\frac{1}{4}\)
D
\(\frac{5}{36}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Probability
Solution
From a box containing 2 red, 6 white, and 5 black balls, a ball is randomly selected. What is the probability that the selected ball is black?
A
\(\frac{5}{13}\)
B
\(\frac{5}{11}\)
C
\(\frac{2}{13}\)
D
\(\frac{5}{6}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Probability
Solution
a. A pack of 52 playing cards is shuffled, and a card is drawn at random. Calculate the probability that it is either a five or a red nine.
[Hint: There are 4 fives and 2 red nines in a pack of 52 cards]
b. P, Q, and R are points in the same horizontal plane. The bearing of Q from P is 150º, and the bearing of R from Q is 060º. If |PQ| = 5 m and |QR| = 3 m, find the bearing of R from P, correct to the nearest degree.
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2024
Probability
Solution
A bag contains 7 red and 4 black identical balls. Two balls were picked at random from the bag and replaced each time. Find the probability the two balls were of same colour.
A
\(\frac{54}{121}\)
B
\(\frac{65}{121}\)
C
\(\frac{29}{55}\)
D
\(\frac{27}{55}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Probability
Solution
A coin is thrown 3 times. What is the probability that atleast one head is obtained?
A
\(\frac {7}{8}\)
B
\(\frac {3}{8}\)
C
None the above
D
\(\frac {1}{8}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Probability
Solution
A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the probability of drawing a red ball and a white ball if the balls are drawn without replacement.
A
\(\frac {1}{3}\)
B
\(\frac {2}{9}\)
C
\(\frac {2}{3}\)
D
\(\frac {8}{33}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Probability
Solution
Two dice are tossed. What is the probability that the total score is a prime number.
A
\(\frac{5}{12}\)
B
\(\frac{5}{9}\)
C
\(\frac{1}{6}\)
D
\(\frac{1}{3}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2023
Probability
Solution
A number is chosen at random from 40 and 50 inclusive. Find the probability that the number is prime.
A
\(\frac{8}{11}\)
B
\(\frac{3}{11}\)
C
\(\frac{4}{11}\)
D
\(\frac{5}{11}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2022
Probability
Solution
If a fair coin is tossed twice, what is the probability of obtaining at least one head?
A
0.25
B
0.75
C
0.5
D
0.33
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Probability
Solution
Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 and with blue eyes is 1/4. What is the probability that she will give birth to a girl with blue eyes?
A
1
B
\(\frac{3}{4}\)
C
\(\frac{1}{8}\)
D
\(\frac{1}{4}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2021
Probability
Solution
Find the probability that a number selected at random from 41 to 56 is a multiple of 9
A
\(\frac{1}{8}\)
B
\(\frac{2}{15}\)
C
\(\frac{3}{16}\)
D
\(\frac{7}{8}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2021
Probability
Solution
A fair die is tossed twice what is the probability of get a sum of at least 10.
A
\(\frac{5}{36}\)
B
\(\frac{2}{3}\)
C
\(\frac{5}{18}\)
D
\(\frac{1}{6}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2019
Probability
Solution
A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?
A
\(\frac{2}{3}\)
B
\(\frac{3}{5}\)
C
\(\frac{7}{20}\)
D
\(\frac{12}{25}\)
medium Difficulty
Study Solution