Mathematics: Anumber cube is tossed and one card is randomly drawn. find p(3, yellow) (btw there are 5 cards 3 yellow 2 blue) the answer choice are: a. 1/30 b. 1/25 c.3/25 d.1/10

Anumber cube is tossed and one card is randomly

aidanfbussiness

02.01.2022

$\dfrac{1}{10}$

Step-by-step explanation:

Probability = $\dfrac{\text{favorable outcomes}}{\text{total outcomes}}$

Given : A number cube is tossed and one card is randomly drawn.

Total outcomes for cube = 6

Total outcomes fro cards = 5

Number of yellow cards = 3

Event 1 : drawing 3 on cube .

$P(E_1)=\dfrac{1}{6}$

Event 2 : drawing a yellow card .

$P(E_2)=\dfrac{3}{5}$

Since both events are independent then probability of getting 3 on cube and a yellow card is $P(E_1)\times P(E_2)$

i.e. $\text{P(3, yellow)}=\dfrac{1}{6}\times\dfrac{3}{5}=\dfrac{1}{10}$

Hence, P(3, yellow)= $\dfrac{1}{10}$

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