3 A basket contains 7 red balls, 3 green balls and 5 yellow balls. What is the probability of obtaining a red ball? If 2 blue balls are added to the basket and 3 red balls are painted blue, find the probability of obtaining a blue ball.
Answers
Answer:
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Step-by-step explanation:
Given :-
A basket contains 7 red balls, 3 green balls and 5 yellow balls.
To find :-
Probability of obtaining
i) a red ball
ii) a blue ball , If 2 blue balls are added to the basket and 3 red balls are painted blue.
Solution :-
Given that
Number of red balls = 7
Number of green balls = 3
Number of yellow balls = 5
Total number of balls in the basket
= 7+3+5
= 15
Therefore, Number of total outcomes obtaining a ball from the basket = 15
I) Number of red balls = 7
Number of favourable outcomes obtaining a red ball = 7
We know that
Probability of an event E is P(E) =
Number of favourable outcomes/Total number of all possible outcomes
Probability of obtaining a red ball
=> P(R)= 7/15
Therefore, P(R) = 7/15
ii) Number of blue balls added = 2
Number of red balls painted blue = 3
Therefore, number of blue balls = 2+3 = 5
Number of red balls = 7-3 = 4
Total number of balls in the basket
= Red balls + blue balls + green balls + yellow balls
= 4 + 5 + 3 + 5
= 17
Number of total outcomes obtaining a ball from the basket = 17
Number of favourable outcomes obtaining a blue ball = 5
We know that
Probability of an event E is P(E) =Number of favourable outcomes/Total number of all possible outcomes
=> P(B) = 5/17
Therefore, P(B) = 5/17
Answer :-
1) Probability of obtaining a red ball is 7/15
2) Probability of obtaining a blue ball is 5/17
Used formulae:-
Probability of an event E is P(E) =
Number of favourable outcomes/Total number of all possible outcomes