Acoin is tossed twice. let e e be the event "the first toss shows heads" and f f the event "the second toss shows heads". (a) are the events e e and f f independent? input yes or no here: yes (b) find the probability of showing heads on both toss. input your answer here: preview

a.Yes, Event E and F are independent.

b.

Step-by-step explanation:

We are given that a coin is tossed twice.

S={HH,HT,TH,TT}

E={HH,HT}

F={HH,TH}

a.We have to find that event A and event B are independent or not.

We know that when two events A and B are independent then

Probability,P(E)=

Total number of cases=4

P(E)=

P(F)=

={HH}

Therefore, Event E and event B are  independent.

b.We have to find the probability of showing heads on both toss.

Number of favorable cases={HH}=1

Total number of cases=4

By using the formula of probability

The probability of getting heads on both toss=

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl