Question

.
(07.03 MC)
Kane 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
32
3
12
4
25
5
3
6
10


Heads Tails
55
45


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


1760 over 10000

1620 over 10000

87 over 100

67 over 100

Answer 1

To find the probability of rolling a 2 on the number cube and the coin landing heads up, we need to multiply the probabilities of each event happening.

The probability of rolling a 2 on the number cube is 32 (times rolled) out of 100 (total rolls), which is 32/100 or 0.32.

The probability of the coin landing heads up is 55 (times heads) out of 100 (total coin flips), which is 55/100 or 0.55.

Therefore, the probability of rolling a 2 on the number cube and the coin landing heads up is 0.32 * 0.55 = 0.176 or 17.6%.

Converting 17.6% to a fraction, we get 17.6/100 = 1760/10000.

So, the probability of rolling a 2 on the number cube and the coin landing heads up is 1760 over 10000.