Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Dua dadu dilempar sekaligus sebanyak satu kali. Peluang muncul jumlah kedua mata dadu sama dengan 3 atau 10 adalah....

Dua dadu dilempar sekaligus sebanyak satu kali. Peluang muncul jumlah kedua mata dadu sama dengan 33 atau 1010 adalah....

Full solution

Q. Dua dadu dilempar sekaligus sebanyak satu kali. Peluang muncul jumlah kedua mata dadu sama dengan 33 atau 1010 adalah....
  1. Calculate Total Outcomes: To solve this problem, we need to consider all the possible outcomes when two dice are rolled. Each die has 66 faces, so there are a total of 6×6=366 \times 6 = 36 possible outcomes.
  2. Determine Sum of 33 Outcomes: Next, we need to determine the number of outcomes that result in a sum of 33. The pairs that give a sum of 33 are (1,2)(1,2) and (2,1)(2,1). There are 22 outcomes that give a sum of 33.
  3. Determine Sum of 1010 Outcomes: Now, we need to determine the number of outcomes that result in a sum of 1010. The pairs that give a sum of 1010 are (4,6)(4,6), (5,5)(5,5), (6,4)(6,4). There are 33 outcomes that give a sum of 1010.
  4. Calculate Favorable Outcomes: Adding the number of outcomes for a sum of 33 and a sum of 1010, we get 2+3=52 + 3 = 5 favorable outcomes.
  5. Find Probability: To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes. The probability is therefore 536\frac{5}{36}.

More problems from Find the sum of an arithmetic series