Practice different types of coin toss questions like tossing a coin, tossing two coins simultaneously and tossing three coins simultaneously in coin toss probability worksheet.
1. If a coin is tossed 500 times and the tail appears 159 times, find the probability of getting a tail.
2. On tossing a coin 1000 times, the head appeared 465 times and the tail appeared 535 times. Find the probability of getting a (i) head (ii) tail.
3. Three coins were tossed simultaneously 200 times. The outcomes are given in the table below:
Outcome |
3 heads |
2 heads |
1 head |
No head |
Total |
Frequency |
24 |
70 |
76 |
30 |
200 |
Find the probability of getting (i) exactly two heads (ii) 1 head 2 tails (iii) at least one head.
4. Write down the total number of possible outcomes when the
following experiment is done.
(i) A coin is tossed
(ii) A die is rolled
(iii) Two coins are tossed
5. Two coins are tossed simultaneously. Write the number of favourable outcomes for the following events:
(i) getting at least one tail
(ii) getting on tail.
6. Fill in the blanks.
(i) A coin tossed at random. The probability of getting a tail is ...... .
(ii) A coin tossed at random. The probability of getting a head is ...... .
7. Two coins are tossed together. What is the probability of getting different faces on the coin?
8. A coin is tossed twice. What is the probability of getting
(i) no head
(ii) at most 1 tail
9. Three coins are tossed simultaneously. What is the probability of getting at least two heads?
Note: All possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
Answers for the coin toss probability worksheet are given below to check the exact answers.
Answers
1. \(\frac{159}{500}\)
2. (i) \(\frac{93}{200}\)
(ii) \(\frac{107}{200}\)
3. (i) \(\frac{7}{20}\)
(ii) \(\frac{19}{50}\)
(iii) \(\frac{17}{20}\)
4. (i) 2
(ii) 6
(iii) 4
5. (i) 3
(ii) 1
6. (i) \(\frac{1}{2}\)
(ii) \(\frac{1}{2}\)
7. \(\frac{1}{2}\)
8. (i) \(\frac{1}{4}\)
(ii) \(\frac{3}{4}\)
9. \(\frac{1}{2}\)
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