Two coins are tossed simultaneously .find the probability of getting
a. Two heads
b. one head
c. no head
d. at least one head
e. at most one head
Answers
Answer:
MATHS
Two unbiased coins are tossed simultaneously.find the probability of getting at most 1 head?
Share
Study later
ANSWER
When two coins are tossed simultaneously then the possible outcomes obtained are {HH,HT,TH,TT}.
Here H denotes head and T denotes tail.
∴, a total of 4 outcomes obtained on tossing two coins simultaneously.
Consider the event of obtaining at the most one head. At most one head is obtained means either no head is obtained or one head is obtained.
The outcome favourable to no head obtained is {TT}
The outcome favourable to one head obtained is {HT,TH}
∴, the event of obtaining at most one head has 3 favourable outcomes.
These are TT,HT and TH.
∴, the probability of obtaining at most one head =
4
3
Answer:
Step-by-step explanation:
No. of Outcomes = 4
(a) P (2 heads) = 1/4
= 0.25
(b) P (one head) = 1/4
= 0.25
(c) P (no head) = 1/4
= 0.25
[Because no head means only tail]
(d) P (atleast one head) = 3/4
= 0.75
[Atleast one head means head can occur more than 1 time]
(e) P (at most one head) = 3/4
= 0.75
[At most means that the maximum number of times head can occur]