Question

Sue 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:

Number on
the Cube Number of
Times Rolled
1
18
2
25
3
12
4
32
5
3
6
10


Heads Tails
56
44


Using Sue's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up? (5 points)


81 over 100

56 over 100

1400 over 10000

1100 over 10000

Answer 1

because it said "and" we multiply and so the answer is 1,400/10,000
hope this helps!

Answer 2

Using it's concept, it is found that the probability of rolling a 2 on the number cube and the coin landing heads up is given by:

$\frac{1400}{10000}$

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

• Out of 100 throws, a 2 was rolled 25 times, hence: $P(A) = \frac{25}{100}$

• Out of 100 flips, the coin landed heads up 56 times, hence $P(B) = \frac{56}{100}$

Since the events are independent, we can just multiply the probabilities:

$P(A \cap B) = P(A)P(B) = \frac{25}{100} \times \frac{56}{100} = \frac{1400}{10000}$

More can be learned about probabilities at https://brainly.com/question/14398287