A spinner with 5 equal sectors numbered 1 2 3 4 5 and an unbiased tetrahedral die with faces numbered 2 4
6 8. The spinner is spun and the die is thrown and the higher of the 2 number is recorded. If both show the same number then
that number is recorded.
b) Calculate the probability that:
i) the higher number is even
ii) the higher number is odd
iii) the higher number is a multiple of 3
iv) the higher number is prime
v) the higher number is more than twice the smaller number.
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Answer:
see below
Step-by-step explanation:
For a single die, the faces have an equal probability of
1
4
.
For two dice, the probability of each event is
=
1
4
×
1
4
=
1
16
There are
4
×
4
=
16
total possible events.
Explanation:
The tabulation below shows all 16 events and the sums for each event. The possible sums range from 2 through 8 .
For example, the probability that the sum equals 4 is 0.1875 because there are 3 ways to roll a sum of 4.
3
×
1
16
=
3
16
=
0.1875
hope that helped
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