Question
A game consists of tossing three coins once and then
rolling two dice. Find the probability of getting no heads in the coin toss and a sum equal to 4 on the dice.Solution
For tossing 3 coins: Total number of possible outcomes = 23 = 8 Number of favourable outcomes = 1 (TTT) So, probability of getting no heads while tossing three coins = (1/8) For rolling 2 dice: Total number of possible outcomes = 6 × 6 = 36 Number of favourable outcomes = 3 [(1,3), (2,2), (3,1)] So, Probability of getting a sum equal to 4 while rolling 2 dice = (3/36) = (1/12) Required probability = (1/8) × (1/12) = 1/96
A vendor sells two varieties of items, I and J. On item I, which costs Rs. 2200, he makes a 12% profit. If the aggregate profit from selling both items ...
- The cost price of a table is Rs. 600. A seller bought 15 such tables and sold 7 of them at 18% profit, five tables at 25% profit and remaining tables for R...
A shopkeeper sold a school bag at a profit of 35%. Had he sold the school bag at 20% profit he would have earned Rs.135 less. Find the cost price of the...
The marked price of an article is ₹1,500. A discount of 20%  is allowed. What is the selling price ?
Profit percentage earned on selling article 'I' is the same as the percentage loss incurred on selling article 'J'. If the cost price of article 'I' is ...
A dealer purchased an item for Rs. ‘a’ and marked it 130% above its cost price, then sold it after applying two successive discounts of 700 and 10%,...
- A shopkeeper sold two products for Rs. 200 each. He earned a profit of 40% on one and incurred a loss of 30% on the other. Calculate the approximate differ...
A shopkeeper sells an article at a loss of 15%. If he had sold it for Rs. 150 more, he would have made a profit of 10%. Find the cost price of the artic...
A seller marked an item above its cost price and allows a discount of 10% on it. On the discounted price, the seller charges a packaging price which is ...
After selling 45% of the items, Neha is left with 30 fewer than 80% of the number of items she initially had. Find the number of ...
Relevant for Exams:
