Question

two coins are tossed at a time. what is the probalitu of getting a. two head b. two tails c. a head and tail d. zero head​

Answer 1

Answer:

2 coins are tossed.

Sample Space: { HH, HT, TH, TT ]

a ) Probability of getting 2 heads:

Number of events possible : { HH } = 1

⇒ Probability = Number of possible events / Sample Space = 1/4

b ) Probability of getting 2 tails:

Number of events possible: { TT } = 1

⇒ Probability = Number of possible events / Sample Space = 1/4

c ) Probability of getting a head and a tail

Number of events possible = { HT, TH } = 2

⇒ Probability = Number of possible events / Sample Space = 2/4 = 1/2

d ) Probability of getting 0 heads

Number of events possible = { TT } = 1

⇒ Probability = Number of possible events / Sample Space = 1/2

These are the required answers !!

Answer 2

The conditions which may come:

H H

H T

T H

T T

So, total number of outcome is 4

a) Number of favourable outcome = 1

So, p(getting two heads) = 1/4

b) Number of favourable outcome = 1

So, p(getting two tails) = 1/4

c) Number of favourable outcome = 2

So, p(geting a head and a tail) = 2/4

                                                  = 1/2

d) Number of favourable outcome = 1

So p(getting zero head) = 1/4