Question

When 2 coins are tossed simultaneously, what are all possible outcomes? In a single throw of 2 coins, what is the probability of getting a i) Both heads ii) At least a head iii) At least a tail iv) A head and a tails?​

Answer 1

Step-by-step explanation:

when 2 coins are tossed simultaneously there are possibilities of getting-

H=heads

T=Tails

(H, T)

(T, H)

(H, H)

(T, T)

so there are 4 possible outcomes..

i) probability of getting 2 heads..

1 possible outcome from 4(H, H)

i.e 1

4

ii) probability of at least one head means all the outcomes where we have at least one head...

3 possible outcomes from 4 {(H, T) (T, H) (H, H)}

i.e 3

4

iii) probability of at least a tail means all the outcomes where we have at least one tail...

3 possible outcomes from 4 {(H, T) (T, H) (T, T)}

i.e 3

4

iv) probability of a tail and head means the outcomes no matter what the order must have a tail and a head...

2 possible outcomes from 4 {(H, T) (T, H)}

1.e 2 = 1

4. 2.

hope this helps