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:
Number on
the Cube Number of
Times Rolled
1
18
2
10
3
12
4
25
5
3
6
32
Heads Tails
45
55
Using Abdul's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up? (5 points)
Number on
the Cube Number of
Times Rolled
1
18
2
10
3
12
4
25
5
3
6
32
Heads Tails
45
55
Using Abdul's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up? (5 points)
1 answer:
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Recall that
There are three cases to consider:
(1) When
, we have 
and 
, so
(2) When
and 
, we get 
and , so
(3) When
, we have and 
, so
So
There are three cases to consider:
(1) When
(2) When
(3) When
So
