Question

A fair coin and a spinner with an

equal chance of landing on the
numbers 1, 2, 3, 4, 5, and 6 are used
in a game. What is the probability of
getting an even number on the
spinner and heads on the coin?
A 1/12
B 1/6
C 1/4
D 1/2

Answer 1

Solution :-

For odd

P = 3/6

P = ½

For head

P = ½

For both

½ × ½ = ¼

`\\`

Answer 2

1/4

Explanation:

There are 3 evens given the 6 numbers

P(even) = 3/6 =1/2

There is 1 head on a two sided coin

P(head) = 1/2

Multiply the probabilities together since they are independent events

P(even, heads) = 1/2*1/2 = 1/4