Question

# Two different dice are thrown together. Find the probability that the product of the number appeared is less than 18. OR Harpreet tosses two different coins simultaneously. What is the probability that she gets: (i) at least one head ? (ii) one head and one tail ?

Open in App
Solution

## There are 6×6=36 possible outcomes. n(S)=36 Favourable outcomes are (4,2),(4,3),(4,5),(5, 1), (5,2),(5,3),(5,3),(6,1),(6,2),(1,1),(1,2), (1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2, 6),(3,1),(3,2),(3,3),(3,4),(2,5) and (4,1). No. of favourable outcomes, n(E)=26P (Product appears is less than 18) P(E)=n(E)n(S)=2636=1318 OR All possible outcomes are {HH,TT,TH,HT} n(S)=4 (i) At least one head, All favourable outcome are {HH,TH,HT} n(E1)=3P(E1)=n(E1)n(S)=34 (ii) One head and one tail All favourable outcome are {TH,HT} n(E2)=2P(E2)=n(E2)n(S)=24=12

Suggest Corrections
0
Join BYJU'S Learning Program
Select...
Related Videos
Experimental Probability
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program
Select...