List of top Mathematics Questions on Statistics and Probability asked in NATA

From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade?
If P (A∩B) = 70% and P(B) = 85%, then P(A/B) is equal to
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be not green?
A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom if the cost per square meter is Rs 75 per sq. m? (Answer to be provided in Rupees)
The figure below shows an unfolded pattern of a die. If four such identical dice are stacked one on top of another, as shown on the right, what is the sum of the numbers appearing on the faces which are parallel to the ground ?
unfolded pattern of a die
Some bricks are arranged in a pile with volume 30 cu m. If the length, breadth and height of each brick is 25 cm, 12.5 cm and 8 cm respectively, then in that pile the number of bricks are (Assume there is no gap in between two bricks)
A salesman has a 70% chance to sell a product to any customer. The behavior of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B?
The probability that a leap year will have 53 Fridays or 53 Saturday is
A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 sec, yellow for 5 sec and red for 30 sec. At a randomly chosen time, the probability that the light will not be green is
A determinant is chosen at random from the set of order 2 with elements 0 or 1 only. The probability that the determinant chosen non zero is
The monthly rate of sales for the first 11 months of the year of a certain salesman was ₹12,000. But due to his illness during the last month, the average sales for the whole year came down to ₹11,375. The value of the sale during the last month was
The probability that a man will live for 10 more years is 1/4 and the probability that his wife will live for 10 more years is 1/3. The probability that neither the husband nor the wife will be alive after 10 years is