Question

three coins tossed simultaneously 300 times with frequencies of different outcome
outcomes:-3heads,2heads,1heads,no head
frequency:-41,95,105,59
find probability of getting exactly 2heads,atleast 2 heads

Answer 1

probability of getting 2 heads are 19/60
probability of getting at least 2 heads are 34/75

Answer 2

Answer:

1) $\text{P(exactly 2heads)}=\frac{19}{60}$

2) $\text{P(atleast 2 heads)}=\frac{34}{75}$  

Step-by-step explanation:

Given : Three coins tossed simultaneously 300 times with frequencies of different outcome.

Outcomes :- 3heads,  2heads,   1heads,    no head

Frequency :-    41              95            105          59

To find : Probability of getting exactly 2heads, atleast 2 heads

Solution :

Total number of outcomes = 300

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

1) Favorable outcome getting exactly 2heads = 95

$\text{P(exactly 2heads)}=\frac{95}{300}=\frac{19}{60}$

2) Favorable outcome getting atleast 2 heads= 95+41=136

$\text{P(atleast 2 heads)}=\frac{136}{300}=\frac{34}{75}$