If two cookies are drawn from the jar, one after the other and not replaced, the value of p(a and b) is 2/15.
The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.
A cookie jar contains 2 chocolate chip cookies, 5 oatmeal raisin cookies, and 3 sugar cookies.
Event a = drawing a chocolate chip cookie on the first draw event, b = drawing a sugar cookie on the second draw if two cookies are drawn from the jar, one after the other and not replaced.
A will be 2/10 because theres two chocolate chip cookies out of all 10 items in the jar and probability of b) will be 3/9 as you have to take one away guven that there is no replacement.
You then times the two probabilities together: 2/10 x 3/9 which gives you 6/90.
The value of p(a and b) is;
[tex]\rm P(A \ and \ B)=\dfrac{2}{10}\times \dfrac{3}{9}\\\\P(A \ and \ B)=\dfrac{6}{90}\\\\P(A \ and \ B)=\dfrac{2}{15}[/tex]
Hence, if two cookies are drawn from the jar, one after the other and not replaced, the value of p(a and b) is 2/15.
Learn more about probability here;
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