0:00
Hello everyone.
00:01
So in this question let us define three events, event a, b and c as winning first next game, winning second next game and winning third next game.
00:44
Okay, so the probability of a is 0 .6, that is 60 % is given.
00:53
Probability of b.
00:56
Is 0 .7 and probability of c is 0 .4.
01:04
We can find the complement even probabilities.
01:07
Probability of a complement is 0 .4.
01:12
Probability of b complement is 1 minus 0 .7 that is 0 .3.
01:16
Similarly, probability of c complement is 0 .6.
01:20
Let us come to part a of the question.
01:23
What is the probability that team wins each of its next three games.
01:28
That is, we have to find the probability of a, intersection b, intersection c.
01:36
So this will be equals to probability of a, multiplied by probability of b, multiplied by probability of c.
01:44
These three wins are independent of each other, substituting the value, 0 .6, multiplied by 0 .7, multiplied by 0 .4, which will be equals to 0 .4, 0 .4.
01:57
1 .168...