Bài 2: Một Thùng Dầu Nặng 16kg, Vỏ Thùn - Gauthmath

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Math Resources/Statistics/

Question

The diagram below shows all the possible totals from adding together the results of rolling two fair dice. a) What is the probability of rolling a total of 5? Give your answer as a fraction in its simplest form. b) If you rolled a pair of fair dice 180 times, how many times would you expect to roll a total of 5?SHOW LESS197

Solution

user avatar imageAnswer(a) \(\frac{1}{9}\) (b) 20 timesExplanationStep 1: **Calculate total outcomes** 6 \times 6 = 36 Step 2: **Determine favorable outcomes** Possible combinations: (1,4), (2,3), (3,2), (4,1) = 4 favorable outcomes. Step 3: **Calculate probability** P(\text{total of 5}) = \frac{4}{36} = \frac{1}{9} Step 4: **Expected rolls in 180 trials** 180 \times \frac{1}{9} = 20 Click to rate:91.4(350 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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