A forecast is to be made of the results of five cricket matches, each of which can be a win, a draw or a loss for Indian team. find 1). the number of possible forecasts 2). the no. of forecasts containing 0, 1, 2, 3, 4, and 5 errors respectively.
Answers
Total Possible Forecasts = 243 & no. of forecasts containing 0, 1, 2, 3, 4, and 5 errors are 1, 10 , 40 , 80 , 80 , 32 respectively
Step-by-step explanation:
A forecast is to be made of the results of five cricket matches
Each Match Can Have 5 forecast
the number of possible forecasts = 3 * 3 * 3 * 3 * 3
= 243 Forecasts
Total Possible Forecasts = 243
Each Forecast Has probability of correct = 1/3
Probability of Error = 2/3
0 Error = 5 Correct , 1 Error = 4 Correct
Number of Forecast
0 Error = ⁵C₀(1/3)⁵(2/3)⁰ = 1/243 1
1 Error = ⁵C₁(1/3)⁴(2/3)¹ = 10/243 10
2 Errors = ⁵C₂(1/3)³(2/3)² = 40/243 40
3 Errors = ⁵C₃(1/3)²(2/3)³ = 80/243 80
4 Errors = ⁵C₄(1/3)¹(2/3)⁴ = 80/243 80
5 Errors = ⁵C₅(1/3)⁰(2/3)⁵ = 32/243 32
Learn More:
X has the given probability distribution, Find the value of k
brainly.in/question/6536531
Out of 128 families with 4chil dren each,how many expected to have least one boy and one girl about:(probability theoretical distribution)
brainly.in/question/12810151
https://brainly.in/question/13162018