Question

A number cube is rolled 360 times. And the results are recorded as follows: 54 ones, 60 twos, 66 threes, 71 fours, 35 fives, and 74 sixes. What is the experimental probability of rolling a two or a three? a) 0.15 b) 0.1 c) 0.35 d) 0.65

Answer 1

Since you rolled 60 twos and 66 threes out of 360 times this experimental probability is (60+66)/360=126/360=0,35 which is c)

Answer 2

Answer: c) 0.35

Explanation:

Let A be an event of rolling a two and B be an event of rolling a three.

Then the probability of rolling a two is given by :-

`\text{P(2)}=(60)/(360)=(1)/(6)`

Then the probability of rolling a three is given by :-

`\text{P(3)}=(66)/(360)=(11)/(60)`

Now, the experimental probability of rolling a two or a three is given by :-

`\text{P(2)}+\text{P(3)}\\\\=(1)/(6)+(11)/(60)\\\\=(10+11)/(60)\\\\=(21)/(60)=0.35`

Hence, the experimental probability of rolling a two or a three is 0.35 .