Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Sagot :

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: 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 .

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.