CBSE Class 10 Probability Sure Shot Questions Set K

Question. Two fair coins are tossed, then the probability of getting at least one head is
(a) \( \frac{3}{4} \)
(b) \( \frac{1}{4} \)
(c) \( \frac{1}{2} \)
(d) \( \frac{3}{8} \)
Answer: (a) \( \frac{3}{4} \)

Question. In a simultaneous tossing of three coins, the probability of getting exactly one head is
(a) \( \frac{3}{4} \)
(b) \( \frac{1}{2} \)
(c) \( \frac{3}{8} \)
(d) \( \frac{2}{3} \)
Answer: (c) \( \frac{3}{8} \)

Question. A card is drawn from a well shuffled deck of 52 cards, then the probability of getting the jack of heart is
(a) \( \frac{1}{13} \)
(b) \( \frac{1}{26} \)
(c) \( \frac{1}{52} \)
(d) None of the options
Answer: (c) \( \frac{1}{52} \)

Question. Cards marked with numbers 5 to 75 are placed in a box and mixed thoroughly. One card is drawn from the box. Then, the probability that the number on the card is even is
(a) \( \frac{35}{71} \)
(b) \( \frac{35}{70} \)
(c) \( \frac{36}{71} \)
(d) \( \frac{36}{70} \)
Answer: (a) \( \frac{35}{71} \)

Question. A die is thrown once, then the probability of getting a number lying between 3 and 6 is
(a) \( \frac{1}{3} \)
(b) \( \frac{5}{6} \)
(c) \( \frac{2}{3} \)
(d) \( \frac{1}{6} \)
Answer: (a) \( \frac{1}{3} \)

Question. A bag contains 7 red and 4 blue balls. If a ball is drawn at random, then the probability of drawing a red ball is
(a) \( \frac{3}{11} \)
(b) \( \frac{4}{11} \)
(c) \( \frac{7}{11} \)
(d) None of the options
Answer: (c) \( \frac{7}{11} \)

Question. A letter of English alphabets is chosen at random. Then, the probability that it is a letter of the word ‘ARIHANT’ is
(a) \( \frac{4}{13} \)
(b) \( \frac{9}{26} \)
(c) \( \frac{7}{26} \)
(d) \( \frac{5}{26} \)
Answer: (c) \( \frac{7}{26} \)

Question. A child has a die whose six faces show the letters as given below
[A] [B] [C] [D] [E] [Z]
The die is thrown once, then the probability of getting Z is
(a) \( \frac{2}{3} \)
(b) \( \frac{1}{3} \)
(c) \( \frac{1}{6} \)
(d) \( \frac{1}{2} \)
Answer: (c) \( \frac{1}{6} \)

Question. A box contains cards numbered 1 to 70. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 1, 4, 9....., is
(a) \( \frac{4}{35} \)
(b) \( \frac{9}{35} \)
(c) \( \frac{11}{35} \)
(d) \( \frac{9}{70} \)
Answer: (a) \( \frac{4}{35} \)

Question. The probability of guessing the correct answer to certain question is \( \frac{p}{10} \). If the probability of not guessing the correct answer to same questions is \( \frac{1}{4} \), then the value of p is
(a) \( \frac{15}{2} \)
(b) \( \frac{8}{3} \)
(c) \( \frac{15}{4} \)
(d) None of the options
Answer: (a) \( \frac{15}{2} \)

Question. A fair die is thrown once. The probability of getting an odd composite number is
(a) \( \frac{1}{3} \)
(b) \( \frac{1}{6} \)
(c) 0
(d) \( \frac{1}{5} \)
Answer: (c) 0

Question. In a throw of a pair of dice, the probability of the different number on each die is
(a) \( \frac{1}{2} \)
(b) \( \frac{5}{6} \)
(c) \( \frac{1}{6} \)
(d) \( \frac{1}{4} \)
Answer: (b) \( \frac{5}{6} \)

Question. 10 defective pens are accidentally mixed with 140 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot, the probability that the pen taken out is a good one is
(a) \( \frac{7}{15} \)
(b) \( \frac{6}{15} \)
(c) \( \frac{14}{15} \)
(d) \( \frac{15}{14} \)
Answer: (c) \( \frac{14}{15} \)

Question. A box contains 80 discs, which are numbered from 1 to 80. If one disc is drawn at random from the box, then the probability that it bears a number divisible by 5 is
(a) \( \frac{2}{5} \)
(b) \( \frac{8}{45} \)
(c) \( \frac{3}{5} \)
(d) None of the options
Answer: (d) None of the options

Question. In a family of 3 children, then the probability of having atmost one boy is
(a) \( \frac{5}{8} \)
(b) \( \frac{1}{8} \)
(c) \( \frac{7}{8} \)
(d) \( \frac{1}{2} \)
Answer: (d) \( \frac{1}{2} \)