Mathematics Practice Test – Probability (Questions with Answers and Explanations)

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Mathematics Practice Test – Probability (Questions with Answers and Explanations)

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A batch of 40 components contains 5 which are defective. A component is drawn at random from the batch and tested and then a second component is drawn. Determine the probability that neither of the components is defective when drawn with replacement.

A. \frac{35}{40}      B. \frac{7}{8}      C. \frac{49}{64}      D. \frac{33}{44}


A fair die is tossed twice. What is the probability of getting a sum of at least 10? (WASSCE 2021)

A. \frac{5}{36}      B. \frac{2}{3}      C. \frac{5}{18}      D. \frac{1}{6}


Find the probability that a number picked at random from the set {43, 44, 45,......,60} is a prime number.

A. \frac{2}{3}      B. \frac{1}{3}      C. \frac{2}{9}      D. \frac{7}{9}


If a fair coin is tossed four times, what is the probability of obtaining at least one head?

A. \frac{1}{2}     B. \frac{1}{4}     C. \frac{13}{16}     D. \frac{15}{16}


The probabilities of Rangers International beating Sunshine Stars, Niger Tornadoes and Kwara United at a Premier Football League are \frac{7}{10},  \frac{3}{4},  \frac{1}{3} respectively. Find the probability that Rangers loses all the three matches. (NECO 2017)

A. \frac{1}{20}     B. \frac{7}{40}     C. \frac{1}{4}     D. \frac{33}{44}

 

 

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