Consider two events such that p(a)=1/6,p(b)=3/5, and p(anb)=1/10. are events a and b independent events

We are given

P(A∩B)=

Two events A and B are independent when

P(A∩B)=

so, we can plug values and check it

now, we can simplify right side

we can see that

both sides are equal

so, events A and B are independent .............Answer

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%