Question

In thr figure,if the area of traingle RAS=area of traingle RBS and area of trainle QRB =area of traingle PAS.then show that both the quadrilateral PQSR and RSBR are trapeziums ​

Answer 1

Answer:

A coin is biased so that the head is 3 times as likely to occur as tail. If the coin is tossed twice, find the probability distribution of number of tails.

Answer

Let the probability of getting a tail in the biased coin be x.

∴P(T)=x

⇒P(H)=3x

For a biased coin, P(T)+P(H)=1

⇒x+3x=1

⇒4x=1

⇒x=

4

1

​

∴P(T)=

4

1

​

and P(H)=

4

3

​

When the coin is tossed twice, the sample space is {HH,TT,HT,TH}.

Let X be the random variable representing the number of tails.

∴P(X=0)=P(notail)=P(H)×P(H)=

4

3

​

×

4

3

​

=

16

9

​

P(X=1)=P(onetail)=P(HT)+P(TH)

=

4

3

​

⋅

4

1

​

+

4

1

​

⋅

4

3

​

=

16

3

​

+

16

3

​

=

8

3

​

P(X=2)=P(twotails)=P(TT)=

4

1

​

×

4

1

​

=

16

1

​

Step-by-step explanation: