Question

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

Answer 1

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:

`P(2\ and\ heads)=(10)/(100)*(45)/(100)=(450)/(10000)`
The correct choice is B.

Answer 2

P( rolling 2 and head) =
`(450)/(10000)` .

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 =
`(Favorable\ outcome)/(Total\ outcome)`.

Probability of 2 rolled on cube =
`(10)/(100)`.

coin landing on heads up = 45.

Total number of times coin flip = 100.

Probability of landing on heads up =
`(45)/(100)`.

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

Both are independent

P( rolling 2 and head) =
`(10)/(100)` *
`(45)/(100)`.

P( rolling 2 and head) =
`(450)/(10000)` .

Therefore, P( rolling 2 and head) =
`(450)/(10000)` .