Question

Brian spins a fair spinner numbered 1 - 5 and flips a fair coin.
What is the probability of obtaining a 2 and a head?

Answer 1

Answer:  0.1

Step-by-step explanation:

If we spin a fair spinner numbered 1 - 5 and flips a fair coin.

Then, the possible outcomes will be :-

$(1,T),(2,T), (3,T), (4,T), (5,T)\\\\(1,H),(2,H), (3,H), (4,H), (5,H)$

i.e. total 10 possible outcomes.

The favorable outcomes = a 2 and a head  i.e. only 1 .

Now, the probability of obtaining a 2 and a head will be :_

$\dfrac{\text{Number of favorable outcome}}{\text{Total outcomes}}\\\\=\dfrac{1}{10}=0.1$

Hence, the  probability of obtaining a 2 and a head = 0.1