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

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Jzakoianid Jzakoianid · 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)

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JeanaShuppid JeanaShuppid · Answer 2

Answer: c) 0.35

Step-by-step 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 :-

[tex]\text{P(2)}=\dfrac{60}{360}=\dfrac{1}{6}[/tex]

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

[tex]\text{P(3)}=\dfrac{66}{360}=\dfrac{11}{60}[/tex]

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

[tex]\text{P(2)}+\text{P(3)}\\\\=\dfrac{1}{6}+\dfrac{11}{60}\\\\=\dfrac{10+11}{60}\\\\=\dfrac{21}{60}=0.35[/tex]

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