There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes: Q, U and V ?
Created: 28 Feb 2026 |
Updated: 01 Jun 2026
Updated: 01 Jun 2026
Explanation:
Given: There are two identical dice with a single letter on each of the faces: Q, R, S, T, U, V Formula used: Probability of outcomes = Total number of favorable outcomes/Total number of possible outcomes Calculation: Total faces of each dice = 6 We know that in a single thrown of two dice, the number of possible outcomes = 6 × 6 = 36 Favorable outcomes can be composed of any combination of Q, U, and V are (Q, Q), (U, U), (V, V), (Q, U), (U, Q), (Q, V), (V, Q), (U, V), (V, U). There are three favorable outcomes that come from each dice. Total numbers of favorable outcomes can be composed of any combination of Q, U, and V = 9 ∴ The probability that the outcomes on the dice can be composed of any combination of Q, U, and V = 9/36 = 1/4 ∴ The probability that the outcomes on the dice were composed only of any combination of the following possible outcomes: Q, U, and V are 1/4.
বাংলা সাহিত্য ও ব্যাকরণ হলো বাংলা ভাষার দুটি অবিচ্ছেদ্য অঙ্গ। বাংলা সাহিত্য হলো বাংলা ভাষায় রচিত কবিতা, উপন্যাস, নাটক, গল্পসহ সৃজনশীল ও মননশীল রচনার সমষ্টি, যার সূচনা দশম শতাব্দীতে 'চর্যাপদ' এর মাধ্যমে। অন্যদিকে, বাংলা ব্যাকরণ হলো এমন একটি শাস্ত্র বা বিজ্ঞান, যা বাংলা ভাষার গঠন, প্রকৃতি, ধ্বনি, শব্দ ও বাক্যের নিয়ম-কানুন বিশ্লেষণ করে ভাষার শুদ্ধ রূপ ও প্রয়োগ শেখায়।
💬 Comments (0)