Abdul used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below:

Using Abdul's simulation, what is the probability of rolling a '2' on the number cube and the coin landing on heads up?

A. 320/10000
B. 450/10000
C. 55/100
D. 65/100

The simulation resulted in the probability of rolling a 2 on the cube being 10/100 and the probability of heads being 45/100. The events 'rolling a 2' and 'tossing heads' are independent, therefore the probability of them occurring together is given by the product of the probabilities, as follows:
[tex]P(2\ and\ heads)=\frac{10}{100}\times\frac{45}{100}=\frac{450}{10000}[/tex]
The correct choice is B.

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PiaDeveau PiaDeveau · Answer 2 · 2019-05-18T06:42:07+02:00

Answer:

P( rolling 2 and head) =[tex]\frac{450}{10000}[/tex] .

Step-by-step explanation:

Given : Abdul used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below.

To find : what is the probability of rolling a '2' on the number cube and the coin landing on heads up.

Solution : we have given :

Number 2 on cube rolled = 10 times

Total number of times it rolled = 100.

Probability = [tex]\frac{Favorable\ outcome}{Total\ outcome}[/tex].

Probability of 2 rolled on cube = [tex]\frac{10}{100}[/tex].

coin landing on heads up = 45.

Total number of times coin flip = 100.

Probability of landing on heads up = [tex]\frac{45}{100}[/tex].

Then, P( rolling 2 and head) = P( rolling 2) * P( head).

Both are independent

P( rolling 2 and head) =[tex]\frac{10}{100}[/tex] * [tex]\frac{45}{100}[/tex].

P( rolling 2 and head) =[tex]\frac{450}{10000}[/tex] .

Therefore, P( rolling 2 and head) =[tex]\frac{450}{10000}[/tex] .