A box contain 2 blue caps , 4 red caps, 5 green caps and 1 yellow caps. If two caps are picked at random then what is the probability that atleast one is red?
Answers
Answer:
A box contains 2 blue, 4 red, 5 green and 1 yellow caps. What is the probability that at least one cap is red when 2 caps are randomly picked? Possible ways of drawing 2 caps = 12c2. Probability that atleast one cap is red =probability of drawing 1 red cap with any other cap + probability of drawing 2 red caps.
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Answer:
0.5758
Given:-
No. of blue caps = 2
No. of red caps = 4
No. of green caps = 5
No. of yellow caps = 1
To Find:-
If two caps are picked at random then what is the probability that atleast one is red?
Solution:-
Total no. of caps = 12.
✠ First time you pick a cap,
there are (2 + 4 + 5 + 1) = 12 choices,
✠ Second time you pick a cap,
there are (12 - 1) 11 choices
⍟ So, the total possible combination is (12 × 11) = 132 choices by multiple principal.
★ The possible combination that there are not red caps in your two choices
is (12 - 4) × (11 - 4) = 8 × 7 = 56,
⍟ So,
\star \;\sf \purple{Probability}_{( at\;least\;one\;is\;red)} ={(132 - 56)}{132}⋆Probability
(at least one is red) =(132−56)
= 0.5758
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Step-by-step explanation:
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