The two events described in this exercise are pulling a card from a stack of 15 and spinning the spinner. Neither of these events affects the probability of the other so these are independent events. If two events are independent, then the probability of both occurring is the product of their individual probabilities.
P(AandB)=P(A)* P(B)
Here, A is pulling a card with a label that is a prime number and B is spinning blue. Let's start by calculating the probability of pulling a card with a label that is a prime number.
P(A)&=6/15 l←prime numbers ←all cards
Let's now find the probability of landing on a blue section.
P(B)&=1/4 l← blue sections ←all sections
Finally, we multiply P(A) and P(B).
