A fair die is tossed 60 times and the results are recorded in the table Number of die 1 2 3 4 5 6 Frequency 15 10 14 2 8 11 Find the probability of obtainin...
A fair die is tossed 60 times and the results are recorded in the table
Number of die
1
2
3
4
5
6
Frequency
15
10
14
2
8
11
Find the probability of obtaining a prime number.
Answer Details
A prime number is a number greater than 1 that is only divisible by 1 and itself. The prime numbers on a die are 2, 3, and 5.
We know that the die is fair, which means that each number has an equal probability of being rolled. There are a total of 60 rolls, so we can use the frequency table to count the number of times each prime number appears on the die.
The frequency of the number 2 is 10, the frequency of the number 3 is 14, and the frequency of the number 5 is 8. Therefore, the total number of times a prime number was rolled is:
10 + 14 + 8 = 32
The probability of rolling a prime number on a fair die is the total number of times a prime number was rolled divided by the total number of rolls:
32/60 = 8/15
Therefore, the answer is option D, 8/15.