Answer:
3.
a) There are 1, 2, 3, 4, 5, 6 outcomes.
b) There are 3 odd numbers on this die, and they are: 1, 3, and 5
c) There are 3 even numbers on this die, and they are: 2, 4, and 6
4.
a) There are 3 possible outcomes, green, blue, and red
b) There is a 1/3 chance of getting a red, because there is one red out of three possible outcomes.
c) P(R ∪/or G) = P(R) + P(G) - P(R ∩/and G)
replace those with actual values;
P(R or/∪ G) = 1/3 + 1/3 - (1/3 x 1/3) = 2/9
d) There are 2 other colors besides red out of 3, so therefore it is a 2/3 chance
e) The probability of getting a yellow is not mentioned therefore it is impossible.
5.
a) There are 7 possible outcomes
b) There is only <em>one</em> 6 in the spinner out of 7 numbers, so it will be a 1/7 chance
c) There is no 8 mentioned in this spinner, hence this event is impossible.
d) P(2 ∪/or 4) = P(2) + P(4) - P(2 ∩/and 4)
replace them with actual values;
1/7 + 1/7 - (1/7 x 1/7) = 13/49
e) There are 3 even numbers in the spinner, so it is a 3/7 chance
f) There are 4 odd numbers in the spinner, so it is a 4/7 chance
g) There are 8 marbles in a bag, what is the probability of getting a marble? The event has to be certain if you're getting a probability of 1.
6.
a) There are 5 possible outcomes.
b) There is one "T" in the word 'maths', so it would be a 1/5 chance of getting a t since there are 5 letters in total. Though, they want it in decimals so 1/5 = 0.2
c) There are 4 consonants in the word 'maths', so it would be a 4/5 chance of getting a consonant. Though, they want it in decimals so: 4/5 = 0.8
d) There are 3 letters in both 'tame' and 'maths', so 3 letters out of 5 letters (3/5) could be a letter used in 'tame' from 'maths'. Though, they want a percentage so: 3/5 = x/100, solving for x would equal 60%.
This is the answer because the GCF of both numbers is 5.