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Question
The following table shows the recording of the outcomes on throwing a 6-sided die 50 times. Find the experimental probability of:
Outcome
1
2
3
4
5
6
Frequency
6
11
10
8
9
6
a) rolling a three; b) rolling a number less than three; c) rolling a two or five.
| Outcome | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 6 | 11 | 10 | 8 | 9 | 6 |
a) rolling a three; b) rolling a number less than three; c) rolling a two or five.
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Solution
a) rolling a three
It’s given that a dice is thrown 50 times.
In subpart ‘a’, we are asked about the probability of rolling a 3.
Total number of outcomes = Number of times the dice is rolled
Total number of outcomes = 50
From the given table, we can see that 3 appeared 10 times, as the frequency of 3 is 10.
Total number of favourable outcomes = 10
P(Rolling 3) = 10/50 =1/5
b) rolling a number less than three
Total number of favourable outcomes = 6 + 11 = 17
So, P(Rolling a number less than 3) = 17/50
c) rolling a two or five.
Total number of favourable outcomes = 11 + 9 = 20
So, P(rolling 2 or 5) = 20/50 = 2/5
It’s given that a dice is thrown 50 times.
In subpart ‘a’, we are asked about the probability of rolling a 3.
Total number of outcomes = Number of times the dice is rolled
Total number of outcomes = 50
From the given table, we can see that 3 appeared 10 times, as the frequency of 3 is 10.
Total number of favourable outcomes = 10
P(Rolling 3) = 10/50 =1/5
b) rolling a number less than three
Total number of favourable outcomes = 6 + 11 = 17
So, P(Rolling a number less than 3) = 17/50
c) rolling a two or five.
Total number of favourable outcomes = 11 + 9 = 20
So, P(rolling 2 or 5) = 20/50 = 2/5
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