1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In an experiment of tossing a coin, if head is obtained then the coin is tossed again and if tail is obtained then a die is rolled. What is the probability of obtaining a tail on the coin and number 3 on the die?

A
18
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
16
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
12
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
112
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 112 The experiment performed can be shown as: Let P(T) denotes the probability of obtaining a tail on the coin in the beginning. P(T)= 1C1 2C1 P(T)=12 Let P(3) denotes the probability of obtaining number 3 on the die. P(3)= 1C1 6C1 P(3)=16 Let P(T and 3) denotes the probability of obtaining tail on the coin and number 3 on the die. P(T and 3)=P(T)×P(3) =12×16 =112 The probability of obtaining tail on the coin and number 3 on the die is 112. Therefore, option (d.) is the correct answer.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Combinatorics in Calculating Probabilities for Multiple Events
MATHEMATICS
Watch in App
Join BYJU'S Learning Program