Practice different types of rolling dice probability questions like probability of rolling a die, probability for rolling two dice simultaneously and probability for rolling three dice simultaneously in rolling dice probability worksheet.
1. A die is thrown 350 times and the score of 6 is obtained 28 times. Find the probability of
(i) getting the score of 6
(ii) getting a score under 6.
2. A die is rolled 500 times and the frequencies of the scores obtained are given below.
Score
1
2
3
4
5
6
Total
Frequency
75
80
85
90
84
86
500
Find the probability of getting each score. Verify if their sum is 1.
3. Write down the total number of possible outcomes when the following experiment is done.
(i) A die is rolled
(ii) Two dices are rolled simultaneously.
4. A die is rolled at random. Write the number of favourable outcomes for the following events:
(i) getting a number less than 5
(ii) getting a prime number.
5. Two coins are tossed simultaneously. Write the number of favourable outcomes for the following events:
(i) getting at least one tail
(ii) getting tail
6. Fill in the blanks.
(i) A die is rolled at random. The probability of getting 2 is ....... .
(ii) A die is rolled at random. The probability of not getting 4 is ....... .
7. A die is rolled once. Find the probability of getting
(i) the number 5
(ii) an odd number
(iii) a number lying between 3 and 6
8. A die is rolled once. Find the probability that the number is
(i) even
(ii) greater than 2
9. Two dice, one white and one red, are rolled together. Find the probability of getting
(i) a sum of 6
(ii) two different digits
(iii) a difference of 1.
Answers for the rolling dice probability worksheet are given below to check the exact answers of the above questions.
Answers
1. (i) \(\frac{2}{25}\)
(ii) \(\frac{23}{25}\)
2. \(\frac{3}{20}\), \(\frac{4}{25}\), \(\frac{17}{100}\), \(\frac{9}{50}\), \(\frac{21}{125}\), \(\frac{43}{250}\); Yes
3. (i) 6
(ii) 36
4. (i) 4
(ii) 3
5. (i) 3
(ii) 1
6. (i) \(\frac{1}{6}\)
(ii) \(\frac{5}{6}\)
7. (i) \(\frac{1}{6}\)
(ii) \(\frac{1}{2}\)
(iii) \(\frac{1}{3}\)
8. (i) \(\frac{1}{2}\)
(ii) \(\frac{2}{3}\)
9. (i) \(\frac{5}{36}\)
(ii) \(\frac{5}{6}\)
(iii) \(\frac{5}{18}\)
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