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:
You might be interested in
Answer:
a) 504
b) 56
c) 0.111
Step-by-step explanation:
Data provided in the question:
There are nine golf balls numbered from 1 to 9 in a bag
Three balls are randomly selected without replacement
a) 3-digit numbers that can be formed
=
n = 9
r = 3
= ⁹P₃
=
= 9 × 8 × 7
= 504
b) 3-digit numbers start with the digit 1
= _ _ _
in the above 3 blanks first digit is fixed i.e 1
we and we have 8 choices left for the last 2 digits
Thus,
n = 8
r = 2
Therefore,
= 1 × ⁸P₂
= 1 ×
= 1 × 8 × 7
= 56
c) Probability that the 3-digit number formed is less than 200
Now,
The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)
and total 3-digit numbers that can be formed is part a)
therefore,
Probability that the 3-digit number formed is less than 200
= 56 ÷ 504
= 0.111