Question

2 coins are tossed simultaneously findthe probability of getting
a) at most 2 head
b) at least 2 head
c) exactly 2 head ​

Answer 1

Step-by-step explanation:

If 2 coins are tossed simultaneously at random, the possible outcomes are H H, H T, T H, T T

=> Total number of possible outcomes = 4

At most 2 heads -- Maximum 2 heads

We can consider H H, H T, T H

=> Number of favourable outcomes = 3

.•. Probability of getting

a) at most 2 heads =

Number of favourable outcomes / Total number of possible outcomes

= 3 / 4

At least 2 heads -- Minimum 2 heads

We can consider H H

=> Number of favourable outcomes = 1

.•. Probability of getting

b) at least 2 heads =

Number of favourable outcomes / Total number of possible outcomes

= 1 / 4

Exactly 2 heads -- Only 2 heads

We can consider H H

=> Number of favourable outcomes = 1

.•. Probability of getting

c) Exactly 2 heads =

Number of favourable outcomes / Total number of possible outcomes

= 1 / 4