Question

You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a prime number and not flipping heads.

Answer 1

Answer:

The probability is:

3/10

Step-by-step explanation:

The numbers in the spinners are given to be:

{1,2,3,4,5}

Total number of outcomes are: 5

On spinning the spinner, the outcomes which are prime are:

{2,3,5}

Hence, the probability that a prime number is obtained is:

3/5

Also, the probability that a head is not obtained i.e. a tail is obtained is:

1/2

Hence, the compound probability of spinning a prime number and not flipping head is:

$=\dfrac{3}{5}\times \dfrac{1}{2}\\\\\\=\dfrac{3}{10}$

Hence, the compound probability is:

3/10

Answer 2

The probability of spinning a prime number and not flipping heads will be given as follows:
P(Prime)*P(Tails)
P(Prime)=3/5
P(Tails)=1/2
Thus
P(Prime) and P(Tails)
=3/5×1/2
=3/10